Algebra
posted by ANONYMUS
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

Steve
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^2b^2)
= 2(ab)(a+b)
b. 6x^2  6y^2
= 6(x^2y^2)
= 2*3(xy)(x+y)
c. 4x^2  4
= 4(x^21)
= 2*2(x1)(x+1)
d. ax^2  ay^2
= a(x^2y^2)
= a(xy)(x+y)
e. cm^2  cn^2
= c(m^2n^2)
= c(mn)(m+n)
w. x^3  7x^2 + 10x
= x(x^27x+10)
= x(x2)(x5)
Now you try some. It looks like this is mainly a set of exercises on the difference of squares.
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