Question

The area of a rectangle is represented by the expression 4x3−6x2+5x+8 . The width of the rectangle is represented by the expression x−2 . Write an expression that represents the length of the rectangle. Your expression should be in the form q(x)+r(x)b(x) . Show work or explain your answer.

Answer 1

Answer: 4x² + 2x + 9

Step-by-step explanation:

Given that :

Area of rectangle (A) = 4x³−6x²+5x+8

Width of rectangle (W) = x - 2

Recall:

A = length (L) * W

L = A / W

Using long division :

(4x³−6x²+5x+8) ÷ (x - 2)

Kindly check attached picture for the calculation using long division.

It is better written on a notebook. Thank you.