Write a simplified polynomial expression in standard form to represent the area of the rectangle below:

A picture of a rectangle is shown with one side labeled as 2 x minus 2 and another side labeled as x plus 4.

1 answer

The area of a rectangle is given by the formula A = length x width. In this case, the length is 2x - 2 and the width is x + 4. Therefore, the simplified polynomial expression in standard form for the area of the rectangle is:

A = (2x - 2)(x + 4)

Expanding this expression gives:

A = 2x^2 + 6x - 8

So, the simplified polynomial expression in standard form for the area of the rectangle is 2x^2 + 6x - 8.