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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. Represent the area of the remaining portion of the square in the form of a polynomial function A(x)

1 Answer

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Answer:


A(x) = 91-4x^2

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 =


s^2

where s is the side of the square.

Area of bigger square =


(9)^2 = 81\text{ square inches}

Area of smaller square =
x^2

Area of remaining portion =

Area of bigger square - 4(Area of smaller square)


A(x) = 91-4x^2

is the required polynomial function that gives remaining portion of the square.

A square is 3 inches on each side. A small square, x inches on each side, is cut out-example-1
User Daniel Lemire
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