Learn how to find the width and height of a box with polynomials

The video tutorial explains how to solve a geometry problem involving the volume of a rectangular safe. The given expression for volume is X^3 - 13X + 12, with one dimension known as X + 4. The tutorial guides through calculating the other dimensions using synthetic division, ensuring the height is greater than the width. It emphasizes understanding volume as a product of length, width, and height, and solving for unknown dimensions using algebraic methods.

If the length of the safe is X + 4, how would you express the width and height?

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What is the expression for the volume of the safe in terms of X?

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Discuss the significance of the volume formula in relation to the dimensions of the safe.

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Explain how you would use synthetic division to solve for the width and height.

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What factors would you consider to determine which dimension (height or width) is greater?

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