Question

Use the grouping method to factor this polynomial.

x^3 + 2x^2 +7x+14
A. (x2 +2)(x+7)
B. (x2+8)(x + 2)
C. (x2 + 2)(x+8)
D. (x2 +7)(x+2)

Answer 1

D

Explanation:

Given

x³ + 2x² + 7x + 14 ( factor the first/second and third/fourth terms )

= x²(x + 2) + 7(x + 2) ← factor out (x + 2) from each term

= (x² + 7)(x + 2) → D