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.
2x2 + 3x − 20
2x2 + 13x − 1
2x2 + 13x − 20
2x2 + 3x − 1
(2x-2)(x+4) can be simplified by using the FOIL method:
2x^2 + 8x - 2x - 8 = 2x^2 + 6x - 8
Therefore, the simplified polynomial expression in standard form to represent the area of the rectangle is 2x^2 + 6x - 8. Answer: $\boxed{2x^2 +6x-8}$.
To find the area of the rectangle, we multiply the length by the width. In this case, the length is (2x - 2) and the width is (x + 4).
To simplify the expression, we multiply the terms using the distributive property.
(2x - 2)(x + 4)
= 2x(x) + 2x(4) - 2(x) - 2(4)
= 2x^2 + 8x - 2x - 8
= 2x^2 + 6x - 8
Therefore, the simplified polynomial expression in standard form to represent the area of the rectangle is 2x^2 + 6x - 8.