Question

A square is 4 inches on each side. A small squareinches on each side, is cut out from each corner of the original squareRepresent the area of the remaining portion of the square in the form of a polynomial function A(x)

Answer 1

we know that

The area of the original square is

A=4^2=16 in2

The remaining area is equal to the area of the original square minus the area of the four smaller squares

so

`A\left(x\right)=16-4x^2`

Rewrite

`A(x)=-4x^2+16`