Question

Use the grouping method to factor the polynomial below completely. x^3+2x^2+3x+6​

Answer 1

(x + 2) (x^2 + 3)

Explanation:

Factor the following:

x^3 + 2 x^2 + 3 x + 6

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

x^2 (x + 2) + 3 (x + 2)

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

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