What is the factored form of this expression x^3+3x^2-6x-18

Question

asked Oct 9, 2022 153k views

1 Answer

Priyal Pithadiya · Answer 1 · 2022-10-15T17:06:59+0000

Answer:

(x + 3) (x^2 - 6)

Explanation:

Factor the following:

x^3 + 3 x^2 - 6 x - 18

Factor terms by grouping. x^3 + 3 x^2 - 6 x - 18 = (x^3 + 3 x^2) + (-6 x - 18) = x^2 (x + 3) - 6 (x + 3):

x^2 (x + 3) - 6 (x + 3)

Factor x + 3 from x^2 (x + 3) - 6 (x + 3):

Answer: (x + 3) (x^2 - 6)