The area of a rectangle is represented by the expression 2x^2 - 3x - 20in^2. I have to find the dimensions of the rectangle, include units, and leave my answers as binomials.

Answer 1

bh/2

2x² - 3x - 20

2(-20) = -40, so we need two factors of -40 whose sum is -3

2x² - 3x - 20 = 2x² - 8x + 5x - 20 = 2x(x - 4) + 5(x - 4) = (2x + 5)(x - 4)