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.

What is the given expression for the volume of the rectangular safe?

• X^3 - 13X + 12

• X^2 + 4X + 3

• X^3 + 13X - 12

• X^2 - 4X + 3

What is the first step in finding the width and height of the safe?

• Add the length to the volume

• Subtract the length from the volume

• Divide the volume by the length

• Multiply the volume by the length

Which method is used to divide the polynomial expression for volume?

• Factoring

• Synthetic division

• Long division

• Completing the square

What is the quadratic expression obtained after division?

• X^2 + 4X - 3

• X^2 + 4X + 3

• X^2 - 4X + 3

• X^2 - 4X - 3

Which expression represents the height of the safe?

• X - 1

• X + 3

• X - 3

• X + 1