Question

Factor the following polynomial completely.

10x^4+ 80x^3 + 1120x^2

A. -10x^2(x+2)(x+6)

B. 10x^2 (x+2)(x+6)

C. -10x^2(x-2)(x+6)

D. 10x^2 (x+2)(x+6)

Answer 1

10x^2 (x+2) (x+6)

Explanation:

assuming you meant 120 not 1120

10x^4+ 80x^3 + 120x^2

factor out 10 x^2

10x^2 (x^2 +8x+12)

what numbers multiply together to get 12 and add together to get 8

2*6 = 12 2+6 = 8

10x^2 (x+2) (x+6)

B and D are the same answer?????