To make boxes, a manufacturer cuts equal-sized squares from each corner of a 12-inch x 14-inch piece of cardboard, and then folds up the sides. The polynomial function f(x) = 4x3 – 52x? + 168x gives the volume (in cubic inches) of the resulting box when a square with sides x inches long is cut from each corner. Find the volume of a box if 3-inch squares are cut out. in3 Fold on dashed lines.

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.