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.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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 – 52x2 + 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.
Transcribed Image Text: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 – 52x2 + 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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