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)

Question

Mathematics

Shayna Prince

18 July, 10:29

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)

+1

Answers (1)

Know the Answer?

Kieran Chandler · Answer 1

D

Step-by-step 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

Use the grouping method to factor this polynomial.x^3 + 2x^2 + 7x+14A. (x2 + 2) (x+7)B. (x2+8) (x + 2)C. (x2 + 2) (x+8)D. (x2 + 7) (x+2)

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)