Question

How do you find a polynomial that represents the area of a circle whose radius is b + 1 meters?

Answer 1

`b^2pi+2bpi+pi`

Explanation:

The area of circle is `pi*r^2`

if `r=b+1`
then the area is `pi*(b+1)^2`

FOIL that out...
`pi*(b^2+2b+1)`

and distribute...
`b^2pi+2bpi+pi`