Question

A rectangle with width 2x + 5 inches has an area of {eq}2x^4 + 9x^3 – 12x^2 – 79x – 60

{/eq} square inches. Write a polynomial that represents its length.

EXPERT ANSWER

The area of the given rectangle is, {eq}A=2x^4 + 9x^3 – 12x^2 – 79x – 60

{/eq} square inches.

Its width is given to be: {eq}w= (2x+5)

{/eq} inches.

Let us assume that its length to be {eq}l

{/eq} inches.

Substitute all these values in the