Question

The area of a rectangular garden can be expressed as A = 2x^2 -x -6. The width of the garden is 2x+3. Find an expression for the length of the garden. Write it below.

Answer 1

Explanation:

2x² -x - 6 = 2x² - 4x + 3x - 3*2

= 2x*(x - 2) + 3*(x - 2)

= (x-2)(2x + 3)

A = 2x² -x - 6

A = (x - 2)(2x + 3)

length*width = (x - 2)(2x + 3)

length * (2x +3) = (x - 2)(2x + 3)

`length=((x-2)(2x+3))/((2x+3))`

length = x - 2