Question

Use the grouping method to factor x^3 + x^2 + 5x + 5

A. (x^2+1)(x+5)
B. (x+1)(x^2+5)
C. (x+1)(x^2+5)
D. x(x+5)(x+1)​

Answer 1

x^2(x+1)+5(x+1)

(x^2+5)(x+1)
the answer is a

Answer 2

(x + 1) (x^2 + 5)

Explanation:

Simplify the following:

x^3 + x^2 + 5 x + 5

Factor terms by grouping. x^3 + x^2 + 5 x + 5 = (x^3 + x^2) + (5 x + 5) = x^2 (x + 1) + 5 (x + 1):

x^2 (x + 1) + 5 (x + 1)

Factor x + 1 from x^2 (x + 1) + 5 (x + 1):

Answer: (x + 1) (x^2 + 5)