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?

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

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

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

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