Question

Write a simplified polynomial expression in standard form to represent the area of the rectangle below. (2 points) A picture of a rectangle is shown with one side labeled as 5 x plus 2 and another side labeled as x minus 4.

Answer 1

`Area= 5x^2-18x -8`

Explanation:

If the rectangle show one side of length 5 x +2, and another side of length x - 4, then the area of this rectangle (given by the product of the sides' length) is:

`Area = (5x+2)\,(x-4)\\Area = 5x^2-20x+2x-8\\Area= 5x^2-18x -8`

which is already written in standard form.