Question

The base of the second booth is the shape of a rectangle. Write a polynomial that

represents the area of the booth. Write your answer in descending order. Please
use the palette below to enter your answer.

Answer 1

Therefore, the polynomial that represents the area of the booth is
`25x^(2) - 5` written in descending order of terms.

Rectangle is represented by the expression 5x+2 and the height is represented by the expression 5x−2. Therefore, the area of the rectangle can be found by multiplying these two expressions:

(5x+2)(5x−2)

Now, let's simplify this expression:

(5x+2)(5x−2) −10x+10x−4 ​=
`25x^(2) - 5`

​Therefore, the polynomial that represents the area of the booth is
`25x^(2) - 5` written in descending order of terms.