Multiplying Polynomials and Expressions

This video tutorial explains how to multiply a binomial by a trinomial using a vertical method. It covers the step-by-step process of multiplying each term, using arrows for clarity, and then combining like terms. The tutorial concludes with a verification of the results to ensure accuracy.

How many multiplications are needed when multiplying a binomial with two terms by a trinomial with three terms?

• 3

• 6

• 9

• 5

What is a helpful tool to visualize the multiplication of polynomials?

• Arrows

• Tables

• Diagrams

• Graphs

When multiplying 3x² by 2x³, what is the resulting term?

• 6x⁶

• 5x⁶

• 5x⁵

• 6x⁵

What is the result of multiplying 3x² by -6?

• 18x³

• 18x²

• -18x³

• -18x²

What is the result of multiplying -5x by 2x³?

• -10x⁴

• -10x³

• 10x⁴

• 10x³

What is the result of multiplying -5x by -6?

• -30x²

• 30x²

• 30x

• -30x

What is the combined result of -18x² and -20x²?

• -38x²

• 38x²

• -2x²

• 2x²

In the vertical format, what is the result of 3x² times 4x?

• 12x³

• 12x²

• 8x²

• 8x³

What is the missing term when multiplying 3x² by 4x in the vertical format?

• x⁵

• x⁴

• x³

• x²

What is the result of -5x times 4x in the vertical format?

• -20x²

• -20x³

• 20x³

• 20x²