Question

Write a simplified polynomial expression in standard form to represent the area of the rectangle below x+5 and 2x-4

Answer 1

it would be 2x^2 + 6x-20

Answer 2

`2x^2+6x-20`

Explanation:

The sides of the rectangle are x+5 and 2x-4

To find the polynomial that represents the area of the rectangle , multiply the sides of the rectangle

`(x+5)(2x-4)`

Apply FOIL method to multiply it

`(x+5)(2x-4)`

`2x^2-4x+10x-20`

Combine like terms

`2x^2+6x-20`

Area of the rectangle is
`2x^2+6x-20`