Applying the Distributive Property to Multiply a Monomial by a Binomial

The video tutorial explains how to multiply a monomial by a binomial using the distributive property. It begins with an introduction to the concept, followed by a detailed explanation of the distributive property. The tutorial concludes with a step-by-step example demonstrating the multiplication process, including how to handle exponents.

What is the first step in multiplying a monomial by a binomial?

• Apply the distributive property

• Add the coefficients

• Subtract the exponents

• Divide the terms

What does the distributive property state?

• Multiply a monomial by each term inside the parentheses

• Multiply the coefficients and add the exponents

• Subtract the exponents of like terms

• Divide the terms inside the parentheses

When applying the distributive property, what should you do with the exponents?

• Add the exponents

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

In the example given, what is the result of multiplying X^2 by X?

• X^4

• X^3

• X^2

• X^5

What is the final result of multiplying X^2 by 5 in the example?

• 5X

• 5X^2

• X^7

• X^5