95 items are filed under this topic.
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    Factoring an interest formula | 
  2020-09-29 | 
  
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  From Kenneth: Hello
  
P + Pr has a common factor of P so it can be expressed as P(1 + r) after the P is factored out..
How does the "P" get in front of (1 + r)? 
  
P/P + Pr/P = 1 + r  What step is used to show that P is added in front of (1 + r)?
  
I thank you for your reply. Answered by Harley Weston. | 
  
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    Factoring n^2+3n-270 | 
  2019-02-11 | 
  
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  From Ashley: n^2+3n-270 Answered by Penny Nom. | 
  
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    Factoring a quadratic | 
  2018-04-02 | 
  
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  From Billy: I need help factoring the following question:
4x(squared) -10x +16. Answered by Penny Nom. | 
  
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    Solve 3x^2-19x-14=0 for x | 
  2017-03-15 | 
  
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  From nick: I'm an 8th grader and am quite confused with this equation:
3x^2-19x-14=0
  
The answer is: 
-2/3 , 7
  
But I'm not sure how to solve for it. Answered by Penny Nom. | 
  
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    Factoring a trinomial | 
  2015-11-02 | 
  
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  From Eric: 2v(squared) +11v +5 Answered by Penny Nom. | 
  
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    The product of a 2-digit number and a 3-digit number | 
  2015-02-06 | 
  
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  From Nathaniel: The product of a 2-digit number and a 3-digit number is about 50 000  what  are the products Answered by Penny Nom. | 
  
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    2x^2-2x+1=4x+1 | 
  2015-02-06 | 
  
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  From Caitlyn: 2x^2-2x+1=4x+1 Answered by Penny Nom. | 
  
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    Factorise 15x + 15y | 
  2014-11-20 | 
  
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  From Jordan: hi i saw a question in class today that i didn't understand and i didn't really understand what my teacher was going on about so how do you factorise 15x + 15y Answered by Robert Dawson and Penny Nom. | 
  
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    A factoring problem | 
  2014-10-05 | 
  
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  From Gina: 3x^2+6x+3 Answered by Penny Nom. | 
  
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    Can 100r^2-81z^2 be factored? | 
  2013-12-08 | 
  
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  From Rosa: Can 100r^2-81z^2 be factored? Answered by Penny Nom. | 
  
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    Factor | 
  2013-12-01 | 
  
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  From Rosa: How do you factor 9x^2 - 12y^2? Answered by Penny Nom. | 
  
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    Factor x^6 - 64 | 
  2013-01-25 | 
  
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  From Taylor: Hi, I am having trouble factoring x^6-64. Could you help me? Answered by Penny Nom. | 
  
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    Factor (6a^2-5a+1)(8a^2-6a+1)(12a^2-7a+1) | 
  2012-11-16 | 
  
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  From bailey: Factorise f(a)=(6a^2-5a+1)(8a^2-6a+1)(12a^2-7a+1)
thus find [f(a)]^1/2 Answered by Penny Nom. | 
  
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    Factoring | 
  2012-09-10 | 
  
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  From saravanan: Dear Sir ,  
 I felt difficulty solving the following problem . So please help me .
  
   a+b+c=7 
   ab+bc+cd= 20 
what is  a^2+b^2+c^2 ? Answered by Lorraine Dame and Robert Dawson. | 
  
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    Factoring | 
  2012-04-26 | 
  
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  From Amanda: y=x^2-9x Answered by Penny Nom. | 
  
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    Factoring a quadratic | 
  2012-03-13 | 
  
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  From Makell: X^2 + 32x + 220 = 0 Answered by Penny Nom. | 
  
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    Expanding the size of a table | 
  2011-10-16 | 
  
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  From Ericka: You are working as a carpenter in an industrial Shop. A customer came to you and inquired about the size of the table which would be fitted in her room. She informed you that she had already a 1.5 x 1m table in her room but she wanted to maximize the space by adding the same amount to is length and width. She is planning to occupy a 3 square meter place on her room for her to work comfortably. She is requesting you a written recommendation before she asked to make a table. What amount should be added to both sides to maximize a 3 square meter area? Answered by Penny Nom. | 
  
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    Factor 10x^2+17x-6 | 
  2011-03-03 | 
  
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  From Jeff: Factor 10x^2+17x-6 with steps and explanation. Answered by Penny Nom. | 
  
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    Factoring with fractions | 
  2011-02-15 | 
  
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  From Megan: Hi there, 
I'm working on factoring polynomials but this question has me quite puzzled.. im a college student in my first year.
  
(x^2-a^2/xy)(xy/x+a) Answered by Penny Nom. | 
  
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    Factoring cubics and quartics | 
  2010-09-29 | 
  
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  From Tori: How do you factor these types of questions:
  
* x^3 - 4x^2 - x + 4 
*2x^3 - 3x^2 - 4x - 6 
*x^4 - 15x^2 - 16 Answered by Robert Dawson. | 
  
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    A quartic equation | 
  2010-05-18 | 
  
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  From Austin: Z^4-10z^2=-9 Answered by Penny Nom. | 
  
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    Factoring | 
  2010-01-08 | 
  
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  From jim: i am having trouble with grade 12 factoring in general, i just do not understand it, please help! here is and example of a question: 
12ac+28bc-3ad-7bd and it gets tougher from there like 7a(squared)-14ab+7b(squared) any help is greatly appreciated Answered by Stephen La Rocque. | 
  
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    Factoring | 
  2009-11-19 | 
  
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  From danyelle: 81x^2+36x+4
  
factoring i dont understand it at all Answered by Robert Dawson. | 
  
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    Factoring | 
  2009-08-23 | 
  
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  From Bj: Solve for x: 5x^2 - 35x = 0 Answered by Stephen La Rocque. | 
  
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    Factoring a quadratic | 
  2009-06-16 | 
  
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  From Rebecca: solve the quadratic equation by factoring. 
a) x(squared)+7x+10=0 Answered by Stephen La Rocque. | 
  
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    how do I factor 45 - 5x^2 | 
  2009-05-31 | 
  
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  From tracey: how do I factor 45 - 5x^2 Answered by Penny Nom. | 
  
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    Factor 9x^2 + 6x + 4 | 
  2008-11-21 | 
  
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  From Jonah: how can i solve this by factoring: 9x^2 + 6x + 4 Answered by Harley Weston. | 
  
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    Real and imaginary zeros | 
  2008-11-12 | 
  
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  From David: Find all the real and imaginary zeros for each polynomial. Factor each polynomial. Leave factors with imaginary zeros in quadratic form.
  
h(x)= x^5 +2x^4 - 10x^3 -20x^2 +9x + 18 Answered by Harley Weston. | 
  
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    Factor completely | 
  2008-10-22 | 
  
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  From Monica: I have to factor the following two items completely, but I am lost.  I've tried factoring by substitution and grouping but they don't seem to work:
  
1. 5(w-3z) -10(w-3z)=
  
2. ab-21+a3-b7= Answered by Penny Nom. | 
  
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    Simplifying Algebraic Expressions | 
  2008-08-22 | 
  
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  From Jacky: x^2-y^2+4x+4y Answered by Penny Nom. | 
  
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    Factoring x^2 + 729 | 
  2008-08-19 | 
  
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  From peter: hello I,am having trouble factorising a polynomial into polynomial factors 
with real coefficients please can you help the polynomial is x^2+729 Answered by Harley Weston. | 
  
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    (9x^2-4)/(3x^2-5x+2) * (9x^4 - 6x^3 +4x^2)/(27x^4+8x) | 
  2008-04-29 | 
  
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  From Jonathon: I don't remember how to solve an equation in the form of the following:
  
(9x^2-4)/(3x^2-5x+2) * (9x^4 - 6x^3 +4x^2)/(27x^4+8x) = Answered by Stephen La Rocque. | 
  
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    Factor x^6-5x^3+25 | 
  2008-03-11 | 
  
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  From jacob: how do you factor equations for algebra 2 
x^6-5x^3+25 Answered by Harley Weston. | 
  
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    The dimensions of a rectangle | 
  2008-03-06 | 
  
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  From Julie: Find the dimensions of a rectangle with an area of 400.  Width x ft. 
Length (2x-7)ft. Answered by Stephen La Rocque and Penny Nom. | 
  
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    5x^2 - 45 | 
  2008-02-11 | 
  
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  From Tiana: factor: 
    5x^2 - 45 Answered by Stephen La Rocque. | 
  
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    Factoring x^2 + 25 | 
  2008-01-04 | 
  
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  From Geri: what does x squared plus twenty five factor out to? Answered by Penny Nom. | 
  
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    8^2+64^2 | 
  2007-11-12 | 
  
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  From Daniel: I am having trouble factoring equations like 8^2+64^2, I just don't know
the correct steps to get the answer. Answered by Penny Nom. | 
  
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    Factoring quadratics | 
  2007-10-09 | 
  
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  From Abbie: I have two problems same topic. I belive they cannot be factored but i want to make sure. 
x2+6x-40 
  x2-20x+99 Answered by Penny Nom. | 
  
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    Can you solve this by factoring? 10r^2 - 35r = 10 | 
  2007-08-12 | 
  
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  From Aranxa: how do u solve this equation by factoring: 
10r^2 - 35r = 10 Answered by Stephen La Rocque. | 
  
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    Simplifying a quartic rational expression using long division | 
  2007-06-14 | 
  
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  From Megan: x+2/12x^4+17x^3+0x^2+8x-40= Answered by Stephen La Rocque and Penny Nom. | 
  
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    Factoring by grouping | 
  2007-04-13 | 
  
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  From vincent: How would you factor 
 
the number in ( ) are exponents
2b(3)+3a(3)+3ab(2)+2a(2)b = 
and
4b4b(3)+a(2)b - 4a - ab(4) = Answered by Haley Ess. | 
  
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    Factoring polynomials | 
  2007-02-14 | 
  
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  From Joe: I am in the eighth grade, and we are learning the equivalent of Algebra 2. I have no ides how to factor (x-2)(x^2-1)-6x-6 You help is most aprreciated. Thank you! Joe Answered by Stephen La Rocque. | 
  
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    Factoring m^4-9^n | 
  2006-12-07 | 
  
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  From Josh: I can not figure out how to completely factor m^4-9^n. Answered by Penny Nom. | 
  
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    How do I factor 10x^2 + 17x + 6? | 
  2006-11-21 | 
  
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  From Sheldon: How do I factor 10x^2 + 17x + 6? Answered by Penny Nom. | 
  
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    How do i factor x^3 - 6x^2 + 8x | 
  2006-09-10 | 
  
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  From Lauren:
 how do i factor 
          x3 - 6x2 + 8x 
           Answered by Stephen La Rocque. | 
  
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    Factor | 
  2006-03-08 | 
  
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  From Brad: Factor: 
            x3 + 64m3 and 125p3 - q6 Answered by Penny Nom. | 
  
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    5x^2 - 27x - 18 | 
  2006-01-13 | 
  
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  From Katy: How would you factor 5x2 - 27x - 18? Answered by Penny Nom. | 
  
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    3x^4 - 81 | 
  2006-01-02 | 
  
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  From Julio: How can I factor the following?: 
             
            3x4 - 81 Answered by Penny Nom. | 
  
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    Factoring quartics | 
  2005-11-13 | 
  
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  From Kyle: How do I factor y4 + y2 +1?? I think the answer is (y2 + y + 1)(y2 - y + 1), but I'm not sure how to get that... Answered by Chris Fisher. | 
  
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    Factoring | 
  2005-10-30 | 
  
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  From A student: Factor 18x3 y3 + 12xy2 Answered by Penny Nom. | 
  
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    A quadratic | 
  2005-09-06 | 
  
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  From Ginger: I took a pre alg test today. There was a question on it that I am not sure and is bothering me. Can you tell me the answer? 
       
      x square + 13 + 14 
       
      Factor this Answered by Penny Nom. | 
  
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    Which number is greater? | 
  2005-08-18 | 
  
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  From Dante: Which number is greater: 888....88 X 333...33 or 444.......44 x 666........67 (each of the numbers has 1989 digits)? Answered by Claude Tardif. | 
  
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    Factoring | 
  2005-05-20 | 
  
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  From Abraham: Can you please explain to me how to factor completely the following problem: 
      (sqrt(x+1))-((x2+2x+1)( -7/4)). Answered by Penny Nom. | 
  
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    16x^2+20x-12x-15 | 
  2005-05-03 | 
  
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  From Tanya: how they got (4x+5)(4x-5) from 
      16x2+20x-12x-15=4x(4x+5)-3(4x+5)=(4x+5)(4x-5) Answered by Penny Nom. | 
  
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    "a" cubed minus "b" cubed | 
  2004-12-02 | 
  
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  From Denise: "a"cubed minus "b"cubed equal (a-b) times 
("a"squared plus "ab" plus "b"squared)?
  
I know this is a formula, but why is it true? Answered by Penny. | 
  
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    Solving quadratics | 
  2004-11-20 | 
  
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  From Aaron:  Can you solve the following equation (quote the value of x,y and t to 3 sig figs)
  
((i have changed figures so that i can work through my own example))
  
x2 + x - 6 = 0
  
5y2 +19y = 3
10cos2 t + 3cos t = 4 Answered by Penny Nom. | 
  
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    Factoring | 
  2004-11-09 | 
  
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  From Rise: Q1: a2 + 5a + 6
  
I didn't really understand the purpose of the teacher's steps, but was able to get my daughter to find factors of 6 and then add them together to find which resulted in the sum of 5.
  
Unfortunately, this problem-solving technique did not help us to solve for the more complex problems as follows:
  
Q2: 9a3 - 24a2 + 12a Answered by Penny Nom. | 
  
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    Multiplying two algebraic fractions | 
  2004-10-31 | 
  
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  From A parent: Multiply: 
      x+2        x²-4 
        -----   x  ------- 
      x-2        x²+x-2  Answered by Harley Weston. | 
  
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    sin^2x-5sinx-3=0 | 
  2004-08-02 | 
  
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  From Kerri: hey my name is kerri i'm a college students and i was wondering if you could help in with this problems
  
sin^2x-5sinx-3=0 Answered by Penny Nom. | 
  
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    Factoring | 
  2004-07-28 | 
  
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  From Nicole: Can 4x2 + 19x + 12 be factored? i have tried but i cannot figure it out. Is there a way to find out if it cannot be factored before i try to work out the problem? Answered by Penny Nom. | 
  
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    Factoring | 
  2004-07-19 | 
  
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  From A student: Factor completely: 
3x3 - 24y3 
54x6 + 16y3 
16xy - 4x - 4y - 1 
0.09x2 - 0.16y2 Answered by Penny Nom. | 
  
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    Solving some quadratic equations | 
  2004-07-15 | 
  
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  From A student: Could you please solve the following for x
  
x2+6=5x 
x2+16=8x 
2x+21=3x2 Answered by Penny Nom. | 
  
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    Factoring integers | 
  2004-07-02 | 
  
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  From A student: After looking at all the info I could get about NFS, I still have some questions that are unsolved: 
  
First of all: If someone found an algorithm that has a worst case running time of N*Log(N) to factor an integer n into his divisors, would it be quicker or slower then the number field sieve algorithm?
  
secondly, what exactly is the time complexity of the Number Field Sieve algorithm, if I would factor an integer n? Answered by Claude Tardif. | 
  
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    Factoring | 
  2004-04-27 | 
  
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  From Bipin: FACTORISE:
  
a to the power of 6 + b to the power of 6 Answered by Penny Nom. | 
  
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    Some factoring problems | 
  2004-04-15 | 
  
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  From KJ:      Factor these: 
        x3+125 -----> (x+5)3 
        8x3-27 -----> (?) 
        x2+36 -----> (x+6)2 
        x4-5x2+4 --> (?)  Answered by Penny Nom. | 
  
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    Factoring x^2 + 5x + 4 | 
  2004-03-14 | 
  
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  From Keenan: how do I factor x^+5X+4? Answered by Penny Nom. | 
  
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    Factoring expressions | 
  2004-01-03 | 
  
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  From A student:
 I'm having trouble factoring expressions that aren't monic. I can do things like 
x2-9x+8, but problems like 12x2+5x-3 have me stumped.
 
I also have a question about factoring out common factors. In a problem like
x2-18x+81, wouldn't you divide by 9? But what happens to the x2, is it x2/9?  Answered by Penny Nom. | 
  
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    Factoring in | 
  2003-12-16 | 
  
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  From Priscilla: How can you use solving by factoring in real life applications? Answered by Harley Weston. | 
  
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    Factoring | 
  2003-02-04 | 
  
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  From Marcin: I am having a really hard time with the factor theorem. Can you please help me with the following? (a'3 means a to the exponent 3)
   a)8a'3+64b'3c'6  b)8x'4-12x'3-44x'2+24x  c)x'4-21x'2-100
  Answered by Penny Nom. | 
  
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    Factoring a trinomial | 
  2003-01-26 | 
  
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  From A student: how do you factor: Xsquared + 8x + 12 Answered by Penny Nom. | 
  
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    Factoring | 
  2002-12-11 | 
  
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  From Larry: Question:
   how do u factor trinonmials
   EX:  X 3 + Y 3
   X 3 - 8Y 3
   8X 2 - 72
   64A 3 - 125B 6  Answered by Penny Nom. | 
  
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    Factoring a cubic | 
  2002-12-05 | 
  
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  From Dorota: I got a problem with factorise the expression  2x3+11x2-5x-50. Answered by Penny Nom. | 
  
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    24x^4 + 3x | 
  2002-03-18 | 
  
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  From gary: 24x 4 + 3x Answered by Penny Nom. | 
  
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    4x(2x-1)+(2x-1)2 | 
  2001-09-17 | 
  
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  From Nick: how do u solve 4x(2x-1)+(2x-1)2 Answered by Penny Nom. | 
  
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    A factoring problem | 
  2001-06-14 | 
  
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  From A student: What is the factoring of x squared -7+6 equal Answered by Penny Nom. | 
  
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    25 y^2 + 20 y z - 4 z^2 | 
  2001-05-15 | 
  
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  From Kimmy: i don't know how to factor the trinomial 25y2 + 20yz - 4z2.  I can get it, but i get messed up on getting the minus 4 at the end.  all i get is a plus 4.  Can it even be factored. Answered by Penny Nom. | 
  
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    Factoring | 
  2001-03-22 | 
  
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  From Kaleena: Factor this equation: 5x7-10x5+4x3-8x  Answered by Harley Weston. | 
  
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    Difference of squares | 
  2001-02-20 | 
  
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  From Janna: Hi! I was just wondering how you would factor x2 - 9y2. Answered by Harley Weston. | 
  
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    Factoring | 
  2001-01-24 | 
  
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  From Danielle: 4(x+1)2+y(x+1) Answered by Penny Nom. | 
  
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    Factoring a trinomial | 
  2001-01-24 | 
  
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  From Kyle: I am an eighth grade student.I can not figure out the following problem. 4x2 + 2x - 20 Answered by Leeanne Boehm. | 
  
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    Factoring (u-v)3+v-u | 
  2000-12-15 | 
  
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  From A parent: I am a middle school teacher and a parent. I am snowed in and trying to help my 9th grader get ready for 9 weeks exams. I have tried to factor this problem to no avail. (u-v)^3+v-u. I have the answer but I need to know how it is done. Answered by Penny Nom. | 
  
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    Factoring a cubic | 
  2000-10-31 | 
  
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  From A student: Factor Completely    18p3 - 51p2 - 135p   Answered by Paul Betts and Penny Nom. | 
  
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    Factoring | 
  2000-09-12 | 
  
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  From Melissa: I would like you to help me factor (x 6-y 6) & (a+b)2+3(a+b)-4 Answered by Penny Nom. | 
  
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    Roots of x^2 + 22 x + 112 | 
  2000-09-07 | 
  
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  From Brian R.: I need to find the root of the quadratic equation of a square. The problem is x2 + 22x + 112 = 0. Answered by Penny Nom. | 
  
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    Factoring trinomials that are squared | 
  2000-04-17 | 
  
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  From A student: I have a question that I really need an answer to. I need help with factoring trinomials that are squared. Answered by Penny Nom. | 
  
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    Factoring, primes, GCF and LCM | 
  2000-02-27 | 
  
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  From Ruth Kroek: My son is in grade seven, he has to do a Factoring Booklet the areas covered are:    - Prime #'s  
 - Composite #'s  
 - Rainbow Factoring  
 - Finding Multiples (consecutive multiples)  
 - Finding GCF of 2-3 numbers uning Rainbow factoring  
 - Finding LCM of 2 numbers using consecutive multiples  
 - prime factor trees  
 - prime factor ladders  
 - finding GCF of 2 numbers using Prime number Method 
    Although his text 'Math Power' gives some information, we are at a loss .. Answered by Penny Nom. | 
  
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    Factoring by graphing | 
  2000-01-11 | 
  
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  From Dylan Kirkwood: How can you factor a quadratic equation by graphing it?  Answered by Penny Nom. | 
  
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    Factoring ^6 | 
  2000-01-03 | 
  
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  From Athena:
  my name is Athena and I have a question on factoring: how would you figure this out:    (x6-y6) and (x6+y6)   Answered by Penny Nom. | 
  
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    Common factors | 
  1999-10-06 | 
  
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  From Tommygirl98: Ok I have a question about common factoring I'm not to sure if you could help me but it's worth a try here it goes. Ok I have a test on Friday and i'm having trouble understanding how to do it here's an example,   Factor,  -10 + 2b how do you do it and what do they mean by factor?  Answered by Penny Nom. | 
  
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    Using Factoring in Problem Solving | 
  1999-09-09 | 
  
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  From Lori: I have a problem with a problem. The Problem is....The sum of the squares of two consecutive positive even integers is 340. Find the integers. Answered by Penny Nom. | 
  
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    A difference of squares problem. | 
  1999-07-24 | 
  
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  From Michael and Stephanie Bixler: If you have the equation x= n2 - m2 (ie 40= 72-32= 49-9) x must = a positive number  1) which squared numbers work as n and m  2) how does it work  3) if my teacher gave me the number for x; how could I figure out this problem  Answered by Harley Weston. | 
  
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    Factoring | 
  1999-03-30 | 
  
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  From Maggie Stephens: I don't know anything about factoring would you plese help me.       3x4 - 48  54x6 + 16y3    125-8x3   12x2 - 36x + 27   9 - 81x2   a3 + b3c3   I would greatly appreciate any help you can give me thanks.   Answered by Jack LeSage. | 
  
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    Factoring polynomials | 
  1999-03-29 | 
  
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  From Karen: I have been unable to factorise a polynomial equation and was wondering if you could please help. It is level (10-12) maths. The polynomial is x3 + x2 - 24x + 36  I have tried a few factorisation methods such as foctorisation by grouping but it won't work this polynomial. Please help. Answered by Jeff Walters and Jack LeSage. | 
  
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    Factoring | 
  1999-03-08 | 
  
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  From L. Sivad: Question:  m2+6m+9-n2 Answered by Penny Nom. | 
  
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    Difference of squares | 
  1998-06-23 | 
  
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  From Kristen Smelsky: Solve the following using a difference of squares:   4x(squared) minus 4xy plus y(squared) minus m(squared) plus 2m minus 1    Answered by Penny Nom. | 
  
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