Answer:
[tex]A(x) = 91-4x^2[/tex]
Step-by-step explanation:
We are given the following in the question:
A square is 3 inches on each side. A small square, x inches on each side, is cut out from each corner of the original square.
The attached image shows the obtained square.
Area of square =
[tex]s^2[/tex]
where s is the side of the square.
Area of bigger square =
[tex](9)^2 = 81\text{ square inches}[/tex]
Area of smaller square = [tex]x^2[/tex]
Area of remaining portion =
Area of bigger square - 4(Area of smaller square)
[tex]A(x) = 91-4x^2[/tex]
is the required polynomial function that gives remaining portion of the square.
