







Solve 3x^219x14=0 for x 
20170315 

From nick: I'm an 8th grader and am quite confused with this equation:
3x^219x14=0
The answer is:
2/3 , 7
But I'm not sure how to solve for it. Answered by Penny Nom. 





Factoring a trinomial 
20151102 

From Eric: 2v(squared) +11v +5 Answered by Penny Nom. 





The product of a 2digit number and a 3digit number 
20150206 

From Nathaniel: The product of a 2digit number and a 3digit number is about 50 000 what are the products Answered by Penny Nom. 





2x^22x+1=4x+1 
20150206 

From Caitlyn: 2x^22x+1=4x+1 Answered by Penny Nom. 





Factorise 15x + 15y 
20141120 

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 
20141005 

From Gina: 3x^2+6x+3 Answered by Penny Nom. 





Can 100r^281z^2 be factored? 
20131208 

From Rosa: Can 100r^281z^2 be factored? Answered by Penny Nom. 





Factor 
20131201 

From Rosa: How do you factor 9x^2  12y^2? Answered by Penny Nom. 





Factor x^6  64 
20130125 

From Taylor: Hi, I am having trouble factoring x^664. Could you help me? Answered by Penny Nom. 





Factor (6a^25a+1)(8a^26a+1)(12a^27a+1) 
20121116 

From bailey: Factorise f(a)=(6a^25a+1)(8a^26a+1)(12a^27a+1)
thus find [f(a)]^1/2 Answered by Penny Nom. 





Factoring 
20120910 

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. 





Factoring 
20120426 

From Amanda: y=x^29x Answered by Penny Nom. 





Factoring a quadratic 
20120313 

From Makell: X^2 + 32x + 220 = 0 Answered by Penny Nom. 





Expanding the size of a table 
20111016 

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+17x6 
20110303 

From Jeff: Factor 10x^2+17x6 with steps and explanation. Answered by Penny Nom. 





Factoring with fractions 
20110215 

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^2a^2/xy)(xy/x+a) Answered by Penny Nom. 





Factoring cubics and quartics 
20100929 

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 
20100518 

From Austin: Z^410z^2=9 Answered by Penny Nom. 





Factoring 
20100108 

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+28bc3ad7bd and it gets tougher from there like 7a(squared)14ab+7b(squared) any help is greatly appreciated Answered by Stephen La Rocque. 





Factoring 
20091119 

From danyelle: 81x^2+36x+4
factoring i dont understand it at all Answered by Robert Dawson. 





Factoring 
20090823 

From Bj: Solve for x: 5x^2  35x = 0 Answered by Stephen La Rocque. 





Factoring a quadratic 
20090616 

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 
20090531 

From tracey: how do I factor 45  5x^2 Answered by Penny Nom. 





Factor 9x^2 + 6x + 4 
20081121 

From Jonah: how can i solve this by factoring: 9x^2 + 6x + 4 Answered by Harley Weston. 





Real and imaginary zeros 
20081112 

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 
20081022 

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(w3z) 10(w3z)=
2. ab21+a3b7= Answered by Penny Nom. 





Simplifying Algebraic Expressions 
20080822 

From Jacky: x^2y^2+4x+4y Answered by Penny Nom. 





Factoring x^2 + 729 
20080819 

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^24)/(3x^25x+2) * (9x^4  6x^3 +4x^2)/(27x^4+8x) 
20080429 

From Jonathon: I don't remember how to solve an equation in the form of the following:
(9x^24)/(3x^25x+2) * (9x^4  6x^3 +4x^2)/(27x^4+8x) = Answered by Stephen La Rocque. 





Factor x^65x^3+25 
20080311 

From jacob: how do you factor equations for algebra 2
x^65x^3+25 Answered by Harley Weston. 





The dimensions of a rectangle 
20080306 

From Julie: Find the dimensions of a rectangle with an area of 400. Width x ft.
Length (2x7)ft. Answered by Stephen La Rocque and Penny Nom. 





5x^2  45 
20080211 

From Tiana: factor:
5x^2  45 Answered by Stephen La Rocque. 





Factoring x^2 + 25 
20080104 

From Geri: what does x squared plus twenty five factor out to? Answered by Penny Nom. 





8^2+64^2 
20071112 

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 
20071009 

From Abbie: I have two problems same topic. I belive they cannot be factored but i want to make sure.
x^{2}+6x40
x^{2}20x+99 Answered by Penny Nom. 





Can you solve this by factoring? 10r^2  35r = 10 
20070812 

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 
20070614 

From Megan: x+2/12x^4+17x^3+0x^2+8x40= Answered by Stephen La Rocque and Penny Nom. 





Factoring by grouping 
20070413 

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 
20070214 

From Joe: I am in the eighth grade, and we are learning the equivalent of Algebra 2. I have no ides how to factor (x2)(x^21)6x6 You help is most aprreciated. Thank you! Joe Answered by Stephen La Rocque. 





Factoring m^49^n 
20061207 

From Josh: I can not figure out how to completely factor m^49^n. Answered by Penny Nom. 





How do I factor 10x^2 + 17x + 6? 
20061121 

From Sheldon: How do I factor 10x^2 + 17x + 6? Answered by Penny Nom. 





How do i factor x^3  6x^2 + 8x 
20060910 

From Lauren:
how do i factor
x^{3}  6x^{2} + 8x
Answered by Stephen La Rocque. 





Factor 
20060308 

From Brad: Factor:
x^{3} + 64m^{3} and 125p^{3}  q^{6} Answered by Penny Nom. 





5x^2  27x  18 
20060113 

From Katy: How would you factor 5x^{2}  27x  18? Answered by Penny Nom. 





3x^4  81 
20060102 

From Julio: How can I factor the following?:
3x^{4}  81 Answered by Penny Nom. 





Factoring quartics 
20051113 

From Kyle: How do I factor y^{4} + y^{2} +1?? I think the answer is (y^{2} + y + 1)(y^{2}  y + 1), but I'm not sure how to get that... Answered by Chris Fisher. 





Factoring 
20051030 

From A student: Factor 18x^{3} y^{3} + 12xy^{2} Answered by Penny Nom. 





A quadratic 
20050906 

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? 
20050818 

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 
20050520 

From Abraham: Can you please explain to me how to factor completely the following problem:
(sqrt(x+1))((x^{2}+2x+1)^{( 7/4)}). Answered by Penny Nom. 





16x^2+20x12x15 
20050503 

From Tanya: how they got (4x+5)(4x5) from
16x^{2}+20x12x15=4x(4x+5)3(4x+5)=(4x+5)(4x5) Answered by Penny Nom. 





"a" cubed minus "b" cubed 
20041202 

From Denise: "a"cubed minus "b"cubed equal (ab) times
("a"squared plus "ab" plus "b"squared)?
I know this is a formula, but why is it true? Answered by Penny. 





Solving quadratics 
20041120 

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))
x^{2} + x  6 = 0
5y^{2} +19y = 3
10cos2 t + 3cos t = 4 Answered by Penny Nom. 





Factoring 
20041109 

From Rise: Q1: a^{2} + 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 problemsolving technique did not help us to solve for the more complex problems as follows:
Q2: 9a^{3}  24a^{2} + 12a Answered by Penny Nom. 





Multiplying two algebraic fractions 
20041031 

From A parent: Multiply:
x+2 x²4
 x 
x2 x²+x2 Answered by Harley Weston. 





sin^2x5sinx3=0 
20040802 

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^2x5sinx3=0 Answered by Penny Nom. 





Factoring 
20040728 

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 
20040719 

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 
20040715 

From A student: Could you please solve the following for x
x^{2}+6=5x
x^{2}+16=8x
2x+21=3x^{2} Answered by Penny Nom. 





Factoring integers 
20040702 

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 
20040427 

From Bipin: FACTORISE:
a to the power of 6 + b to the power of 6 Answered by Penny Nom. 





Some factoring problems 
20040415 

From KJ: Factor these:
x^{3}+125 > (x+5)^{3}
8x^{3}27 > (?)
x^{2}+36 > (x+6)^{2}
x^{4}5x^{2}+4 > (?) Answered by Penny Nom. 





Factoring x^2 + 5x + 4 
20040314 

From Keenan: how do I factor x^+5X+4? Answered by Penny Nom. 





Factoring expressions 
20040103 

From A student:
I'm having trouble factoring expressions that aren't monic. I can do things like
x29x+8, but problems like 12x2+5x3 have me stumped.
I also have a question about factoring out common factors. In a problem like
x218x+81, wouldn't you divide by 9? But what happens to the x2, is it x2/9? Answered by Penny Nom. 





Factoring in 
20031216 

From Priscilla: How can you use solving by factoring in real life applications? Answered by Harley Weston. 





Factoring 
20030204 

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'412x'344x'2+24x c)x'421x'2100
Answered by Penny Nom. 





Factoring a trinomial 
20030126 

From A student: how do you factor: Xsquared + 8x + 12 Answered by Penny Nom. 





Factoring 
20021211 

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. 





Factoring a cubic 
20021205 

From Dorota: I got a problem with factorise the expression 2x^{3}+11x^{2}5x50. Answered by Penny Nom. 





24x^4 + 3x 
20020318 

From gary: 24x^{ 4} + 3x Answered by Penny Nom. 





4x(2x1)+(2x1)^{2} 
20010917 

From Nick: how do u solve 4x(2x1)+(2x1)^{2} Answered by Penny Nom. 





A factoring problem 
20010614 

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 
20010515 

From Kimmy: i don't know how to factor the trinomial 25y^{2} + 20yz  4z^{2}. 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 
20010322 

From Kaleena: Factor this equation: 5x^{7}10x^{5}+4x^{3}8x Answered by Harley Weston. 





Difference of squares 
20010220 

From Janna: Hi! I was just wondering how you would factor x^{2}  9y^{2}. Answered by Harley Weston. 





Factoring 
20010124 

From Danielle: 4(x+1)^{2}+y(x+1) Answered by Penny Nom. 





Factoring a trinomial 
20010124 

From Kyle: I am an eighth grade student.I can not figure out the following problem. 4x^{2} + 2x  20 Answered by Leeanne Boehm. 





Factoring (uv)^{3}+vu 
20001215 

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. (uv)^3+vu. I have the answer but I need to know how it is done. Answered by Penny Nom. 





Factoring a cubic 
20001031 

From A student: Factor Completely 18p^{3}  51p^{2}  135p Answered by Paul Betts and Penny Nom. 





Factoring 
20000912 

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 
20000907 

From Brian R.: I need to find the root of the quadratic equation of a square. The problem is x^{2} + 22x + 112 = 0. Answered by Penny Nom. 





Factoring trinomials that are squared 
20000417 

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 
20000227 

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 23 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 
20000111 

From Dylan Kirkwood: How can you factor a quadratic equation by graphing it? Answered by Penny Nom. 





Factoring ^6 
20000103 

From Athena:
my name is Athena and I have a question on factoring: how would you figure this out: (x^{6}y^{6}) and (x^{6}+y^{6}) Answered by Penny Nom. 





Common factors 
19991006 

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. 





Using Factoring in Problem Solving 
19990909 

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. 
19990724 

From Michael and Stephanie Bixler: If you have the equation x= n^{2}  m^{2} (ie 40= 7^{2}3^{2}= 499) 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 
19990330 

From Maggie Stephens: I don't know anything about factoring would you plese help me. 3x^{4}  48 54x^{6} + 16y^{3} 1258x^{3} 12x^{2}  36x + 27 9  81x^{2} a^{3} + b^{3}c^{3} I would greatly appreciate any help you can give me thanks. Answered by Jack LeSage. 





Factoring polynomials 
19990329 

From Karen: I have been unable to factorise a polynomial equation and was wondering if you could please help. It is level (1012) maths. The polynomial is x^{3} + x^{2}  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 
19990308 

From L. Sivad: Question: m^{2}+6m+9n^{2} Answered by Penny Nom. 





Difference of squares 
19980623 

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. 

