Algebra

Directions: Find the prime factors of the polynomials

1.

a. 2a2 - 2b2

b. 6x2 - 6y2

c. 4x2 - 4

d. ax2 - ay2

e. cm2 - cn2

2.

f. st2 - s

g. 2x2 - 18

h. 2x2 - 32

i. 3x2 - 27y2

j. 18m2 - 8

3.

k. 12a2 - 27b2

l. 63c2 - 7

m. x3 - 4x

n. y3 - 25y

o. z3 - z

4.

p. 4c3 - 49c

q. 9db2 - d

r. 4a3 - ab2

s. 4a2 - 36

t. x4 - 1

5.

u. 3x2+ 6x

v. 4r2 - 4r - 48

w. x3 - 7x2 + 10x

x. 4x2 -6 x - 48

y. 16x2 - x2 v 4

Please help I don't understand how to do this pleasssseeeeee help I need to hand it in by tomorrow

1. 0
2. 0
3. 29
1. Usually people don't talk about "prime factors" of polynomials, but a complete factorization should do the job. Here are a few:

a. 2a^2 - 2b^2
= 2(a^2-b^2)
= 2(a-b)(a+b)

b. 6x^2 - 6y^2
= 6(x^2-y^2)
= 2*3(x-y)(x+y)

c. 4x^2 - 4
= 4(x^2-1)
= 2*2(x-1)(x+1)

d. ax^2 - ay^2
= a(x^2-y^2)
= a(x-y)(x+y)

e. cm^2 - cn^2
= c(m^2-n^2)
= c(m-n)(m+n)

w. x^3 - 7x^2 + 10x
= x(x^2-7x+10)
= x(x-2)(x-5)

Now you try some. It looks like this is mainly a set of exercises on the difference of squares.

1. 0
2. 0
posted by Steve

Similar Questions

what exactly is a prime factor would x-5 x+5 and x2+25 all be prime factors of x4-625? Yes, I believe those would be the prime factors. x^4 - 625 can be factored into (x^2 -25)(x^2 + 25) and once again into (x-5)(x+5)(x^2 + 25)

asked by anonymous on November 30, 2006
2. Algebra

One of the polynomials below cannot be factored using integers. Write “prime” for the one trinomial that does not factor and all the factors for the two that do. a) x2– 5x + 6 b) x2+ x + 6 c) 2x2– 2x + 12

asked by Tony on February 14, 2017
3. Liberal Arts Math

how would i solve this problem?? it says factor the polynomial completely: 2xy-3y-40x+60 I studied polynomials, but I don't know what it means to factor them. Do you have a definition in your textbook or notes or something? B-cuz

asked by Maria on May 11, 2007
4. math

You can use the prime factorization of a number, written as the product of powers of prime numbers, to find the number of factors the number has. First, express the number as a product of powers of prime numbers; for example,

asked by m on October 15, 2010
5. Algebra

Subtract the polynomials. (4a2+9b5) - (-2a2-6b5)

asked by BrianP on March 10, 2014
6. math

For every prime p consider all polynomials f(x) with integer coefficients from 1 to p and degree at most p−1, such that for all integers x the number f(2x)−f(x) is divisible by p. Find the sum of all primes p

asked by anonymous on June 21, 2013
7. math

For every prime p consider all polynomials f(x) with integer coefficients from 1 to p and degree at most p−1, such that for all integers x the number f(2x)−f(x) is divisible by p. Find the sum of all primes p

8. maths

4x+3y=21 What is your question? You have simply stated the equation of a straight line. what is a prime factorazation?> expressing a number in terms of its Prime factors eg. 126 = 2*3*3*7 all the factors are prime numbers How does

asked by abi on March 23, 2007