Question

Which of the following is one of the factors of x^2 + 4x – 32?

Answers: x – 16
x + 4
x – 8
x – 4

Answer 1

(x-4)(x+8)

Answer 2

x-4

Answer 3

x^(2)+4x-32

For a polynomial of the form x^(2)+bx+c, find two factors of c (-32) that add up to b (4). In this problem 8*-4=-32 and 8-4=4, so insert 8 as the right hand term of one factor and -4 as the right-hand term of the other factor.
(x+8)(x-4)