Question

Please explain how you got your answer, question is attached below

Answer 1

x - 1

Explanation:

width = volume / height * length

= x^3 + 9x^2 + 6x - 16 / (x + 2)(x + 8)

Since the volume ends in -16 and last term of denominator

= +2 * + 8 = +16 the least term of the width will be - 1.

Also x^3 / x^2 = x

so the answer is (x - 1)

Answer 2

1. Factor x^3 + 9x^2 + 6x - 16 using Polynomial Division

(x^2 + 10x + 16)(x -1)

2. Factor x^2 + 10x + 16

(x + 2)(x + 8)(x - 1)

Answer: x - 1