Question

The area of a rectangle is (x3 – 5x2 + 3x – 15), and the width of the rectangle is (x2+ 3). If area = length × width, what is the length of the rectangle? x + 5 x – 15 x + 15 x – 5

Answer 1

x - 5

Explanation:

x^3 -5x^2 +3x -15 = x^2 +3 times length

therefore:

(x^3 -5x^2+3x -15)/(x^2 +3) = length

= x - 5