Question

The area of a rectangle is x^2 - 2x - 15 and the length of the rectangle is x + 3. Find the width of the rectangle.

A. x – 5

B. x^2 + 15

C. x + 5

D. (x – 2)(x + 3)

Answer 1

factorise the quadratic

find the factors of -15 that add to -2.

one of these factors is 3

(x + 3)(x - ?)

find the ?

you know 1 factor, the length is (x + 3) so the other factor is the width.

Answer 2

(x - 5) Thanks alot!