Question

The area of a rectangle is (x4 + 4x3 + 3x2 – 4x – 4), and the length of the rectangle is (x3 + 5x2 + 8x + 4). If area = length × width, what is the width of the rectangle?

Answer 1

A- x-1

Explanation:

Area = x4 + 4x3 + 3x2 - 4x - 4

Length = x3 +5x2 + 8x + 4

Width = Area / Length.

Performing long division with polynomial.

x4 + 4x3 + 3x2 - 4x - 4 / x3 + 5x2 + 8x + 4 = x-1

Width = x-1

Answer 2

Area = x4 + 4x3 + 3x2 - 4x - 4
Length = x3 +5x2 + 8x + 4

Width = Area / Length.
Performing long division with polynomial.
x4 + 4x3 + 3x2 - 4x - 4 / x3 + 5x2 + 8x + 4 = x-1

Width = x-1