Aye-Yi-yi, Polynomials!!?

Question

Can somebody help, factor each polynomial and check by expanding! Whom ever shows there work the best gets the best answer! I think I got the answers but I really need to know If I'm doing this right!

A) (6m^3 + 9m^2)

B) (12x^2 y^2 z - 24xy^2 z^2)

C) (6p^3 - 4p^2 q + 10pq)

Answer 1

a) common factor 3m^2
3m^2(2m+3)

(6m^3 + 9m^2)

b)common factor 12x and y^2*z
12x (x-2z) y^2z

(12x^2 y^2 z - 24xy^2 z^2)

c)common factor 2p
2p (3p^2-2pq+5q)
multiply through
(6p^3 - 4p^2 q + 10pq)

Answer 2

6m^3 + 9m^2 = 3m^2(2m + 3)

12x^2 y^2 z - 24xy^2 z^2 = 12 x y^2 z (x - 2z)

6p^3 - 4p^2 q + 10pq = 2p(3p^2 - 2pq + 5q) =
2p(3p^2 - q(2p + 5)) or
2p(p(3p - 2q) + 5q)

Answer 3

A)(6m^3 + 9m^2)=3m^2(2m+3)
B)(12x^2y^2z - 24xy^2z^2)=12xy^2z(x - 2z)
c)(6p^3 - 4p^2q + 10pq)=2p(3p^2 - 2pq + 5q)

Answer 4

A) 3m^2(2m + 3)

B) 12xy^2z(x - 2z)

C) 2p(3p^2 - 2pq + 5q)