Solve the problem below and explain your process. Write your answer in the space provided or write it on a separate sheet of paper.

Question

If the area of a rectangle is (15x²-16x-15) square feet, and its length is (3x-5) feet, find its width.

Answer 1

15x^2 - 16x -15 = (5x+3)(3x-5)

(15x^2 - 16x -15)/(3x-5) = (5x+3)(3x-5)/(3x-5) = 5x-3 feet= width

Answer 2

area / length = width

(15x² - 16x - 15) / (3x - 5) = ?

Hint: factor the numerator.