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Solve 3x^2-19x-14=0 for x 2017-03-15
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.
Factoring a trinomial 2015-11-02
From Eric:
2v(squared) +11v +5
Answered by Penny Nom.
The product of a 2-digit number and a 3-digit number 2015-02-06
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.
2x^2-2x+1=4x+1 2015-02-06
From Caitlyn:
Answered by Penny Nom.
Factorise 15x + 15y 2014-11-20
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.
A factoring problem 2014-10-05
From Gina:
Answered by Penny Nom.
Can 100r^2-81z^2 be factored? 2013-12-08
From Rosa:
Can 100r^2-81z^2 be factored?
Answered by Penny Nom.
Factor 2013-12-01
From Rosa:
How do you factor 9x^2 - 12y^2?
Answered by Penny Nom.
Factor x^6 - 64 2013-01-25
From Taylor:
Hi, I am having trouble factoring x^6-64. Could you help me?
Answered by Penny Nom.
Factor (6a^2-5a+1)(8a^2-6a+1)(12a^2-7a+1) 2012-11-16
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.
Factoring 2012-09-10
From saravanan:
Dear Sir ,
I felt difficulty solving the following problem . So please help me .

ab+bc+cd= 20
what is a^2+b^2+c^2 ?

Answered by Lorraine Dame and Robert Dawson.
Factoring 2012-04-26
From Amanda:
Answered by Penny Nom.
Factoring a quadratic 2012-03-13
From Makell:
X^2 + 32x + 220 = 0
Answered by Penny Nom.
Expanding the size of a table 2011-10-16
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.
Factor 10x^2+17x-6 2011-03-03
From Jeff:
Factor 10x^2+17x-6 with steps and explanation.
Answered by Penny Nom.
Factoring with fractions 2011-02-15
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.


Answered by Penny Nom.
Factoring cubics and quartics 2010-09-29
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.
A quartic equation 2010-05-18
From Austin:
Answered by Penny Nom.
Factoring 2010-01-08
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.
Factoring 2009-11-19
From danyelle:

factoring i dont understand it at all

Answered by Robert Dawson.
Factoring 2009-08-23
From Bj:
Solve for x: 5x^2 - 35x = 0
Answered by Stephen La Rocque.
Factoring a quadratic 2009-06-16
From Rebecca:
solve the quadratic equation by factoring.
a) x(squared)+7x+10=0

Answered by Stephen La Rocque.
how do I factor 45 - 5x^2 2009-05-31
From tracey:
how do I factor 45 - 5x^2
Answered by Penny Nom.
Factor 9x^2 + 6x + 4 2008-11-21
From Jonah:
how can i solve this by factoring: 9x^2 + 6x + 4
Answered by Harley Weston.
Real and imaginary zeros 2008-11-12
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.
Factor completely 2008-10-22
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.
Simplifying Algebraic Expressions 2008-08-22
From Jacky:
Answered by Penny Nom.
Factoring x^2 + 729 2008-08-19
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.
(9x^2-4)/(3x^2-5x+2) * (9x^4 - 6x^3 +4x^2)/(27x^4+8x) 2008-04-29
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.
Factor x^6-5x^3+25 2008-03-11
From jacob:
how do you factor equations for algebra 2

Answered by Harley Weston.
The dimensions of a rectangle 2008-03-06
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.
5x^2 - 45 2008-02-11
From Tiana:
factor: 5x^2 - 45
Answered by Stephen La Rocque.
Factoring x^2 + 25 2008-01-04
From Geri:
what does x squared plus twenty five factor out to?
Answered by Penny Nom.
8^2+64^2 2007-11-12
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.
Factoring quadratics 2007-10-09
From Abbie:
I have two problems same topic. I belive they cannot be factored but i want to make sure.

Answered by Penny Nom.
Can you solve this by factoring? 10r^2 - 35r = 10 2007-08-12
From Aranxa:
how do u solve this equation by factoring:
10r^2 - 35r = 10

Answered by Stephen La Rocque.
Simplifying a quartic rational expression using long division 2007-06-14
From Megan:
Answered by Stephen La Rocque and Penny Nom.
Factoring by grouping 2007-04-13
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.
Factoring polynomials 2007-02-14
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.
Factoring m^4-9^n 2006-12-07
From Josh:
I can not figure out how to completely factor m^4-9^n.
Answered by Penny Nom.
How do I factor 10x^2 + 17x + 6? 2006-11-21
From Sheldon:
How do I factor 10x^2 + 17x + 6?
Answered by Penny Nom.
How do i factor x^3 - 6x^2 + 8x 2006-09-10
From Lauren:

how do i factor

x3 - 6x2 + 8x

Answered by Stephen La Rocque.
Factor 2006-03-08
From Brad:
x3 + 64m3 and 125p3 - q6

Answered by Penny Nom.
5x^2 - 27x - 18 2006-01-13
From Katy:
How would you factor 5x2 - 27x - 18?
Answered by Penny Nom.
3x^4 - 81 2006-01-02
From Julio:
How can I factor the following?:

3x4 - 81

Answered by Penny Nom.
Factoring quartics 2005-11-13
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.
Factoring 2005-10-30
From A student:
Factor 18x3 y3 + 12xy2
Answered by Penny Nom.
A quadratic 2005-09-06
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.
Which number is greater? 2005-08-18
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.
Factoring 2005-05-20
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.
16x^2+20x-12x-15 2005-05-03
From Tanya:
how they got (4x+5)(4x-5) from

Answered by Penny Nom.
"a" cubed minus "b" cubed 2004-12-02
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.
Solving quadratics 2004-11-20
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.
Factoring 2004-11-09
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.
Multiplying two algebraic fractions 2004-10-31
From A parent:

x+2 x-4
----- x -------
x-2 x+x-2

Answered by Harley Weston.
sin^2x-5sinx-3=0 2004-08-02
From Kerri:
hey my name is kerri i'm a college students and i was wondering if you could help in with this problems


Answered by Penny Nom.
Factoring 2004-07-28
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.
Factoring 2004-07-19
From A student:
Factor completely:
3x3 - 24y3
54x6 + 16y3
16xy - 4x - 4y - 1
0.09x2 - 0.16y2

Answered by Penny Nom.
Solving some quadratic equations 2004-07-15
From A student:
Could you please solve the following for x


Answered by Penny Nom.
Factoring integers 2004-07-02
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.
Factoring 2004-04-27
From Bipin:

a to the power of 6 + b to the power of 6

Answered by Penny Nom.
Some factoring problems 2004-04-15
From KJ:

Factor these:
x3+125 -----> (x+5)3
8x3-27 -----> (?)
x2+36 -----> (x+6)2
x4-5x2+4 --> (?)

Answered by Penny Nom.
Factoring x^2 + 5x + 4 2004-03-14
From Keenan:
how do I factor x^+5X+4?
Answered by Penny Nom.
Factoring expressions 2004-01-03
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.

Factoring in 2003-12-16
From Priscilla:
How can you use solving by factoring in real life applications?
Answered by Harley Weston.
Factoring 2003-02-04
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)


Answered by Penny Nom.
Factoring a trinomial 2003-01-26
From A student:
how do you factor: Xsquared + 8x + 12
Answered by Penny Nom.
Factoring 2002-12-11
From Larry:

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.
Factoring a cubic 2002-12-05
From Dorota:
I got a problem with factorise the expression

Answered by Penny Nom.
24x^4 + 3x 2002-03-18
From gary:
24x 4 + 3x
Answered by Penny Nom.
4x(2x-1)+(2x-1)2 2001-09-17
From Nick:
how do u solve 4x(2x-1)+(2x-1)2
Answered by Penny Nom.
A factoring problem 2001-06-14
From A student:
What is the factoring of x squared -7+6 equal
Answered by Penny Nom.
25 y^2 + 20 y z - 4 z^2 2001-05-15
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.
Factoring 2001-03-22
From Kaleena:
Factor this equation: 5x7-10x5+4x3-8x
Answered by Harley Weston.
Difference of squares 2001-02-20
From Janna:
Hi! I was just wondering how you would factor x2 - 9y2.
Answered by Harley Weston.
Factoring 2001-01-24
From Danielle:
Answered by Penny Nom.
Factoring a trinomial 2001-01-24
From Kyle:
I am an eighth grade student.I can not figure out the following problem. 4x2 + 2x - 20
Answered by Leeanne Boehm.
Factoring (u-v)3+v-u 2000-12-15
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.
Factoring a cubic 2000-10-31
From A student:
Factor Completely

18p3 - 51p2 - 135p

Answered by Paul Betts and Penny Nom.
Factoring 2000-09-12
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.
Roots of x^2 + 22 x + 112 2000-09-07
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.
Factoring trinomials that are squared 2000-04-17
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.
Factoring, primes, GCF and LCM 2000-02-27
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.
Factoring by graphing 2000-01-11
From Dylan Kirkwood:
How can you factor a quadratic equation by graphing it?
Answered by Penny Nom.
Factoring ^6 2000-01-03
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.
Common factors 1999-10-06
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,

-10 + 2b how do you do it and what do they mean by factor?
Answered by Penny Nom.

Using Factoring in Problem Solving 1999-09-09
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.
A difference of squares problem. 1999-07-24
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.

Factoring 1999-03-30
From Maggie Stephens:
I don't know anything about factoring would you plese help me.

3x4 - 48

54x6 + 16y3


12x2 - 36x + 27

9 - 81x2

a3 + b3c3

I would greatly appreciate any help you can give me thanks.
Answered by Jack LeSage.

Factoring polynomials 1999-03-29
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.
Factoring 1999-03-08
From L. Sivad:

Answered by Penny Nom.
Difference of squares 1998-06-23
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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