Question

If the area of the rectangle shown below is given by the expression 3x2 + 7x – 6,

and the width is (x + 3), which of the following could represent the length?

Answer 1

Explanation:

3x² + 7x - 6 = 3x² + 9x - 2x - 2*3

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

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

Area of the rectangle = 3x² + 7x - 6

length * width = 3x² + 7x - 6

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

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

length = (3x - 2)