Multiplying a monomial by a binomial

The video tutorial explains the distributive property, focusing on multiplying a monomial by a binomial. It covers the application of the distributive property, demonstrating how to multiply terms and expressions separated by addition or subtraction. The tutorial includes a step-by-step example, showing how to simplify expressions using polynomial rules, such as adding powers when multiplying terms with the same base.

What is the distributive property used for?

• To find the derivative of a polynomial

• To add two polynomials together

• To multiply a term by each term in a binomial

• To divide a polynomial by a monomial

When applying the distributive property, what must you do with the term outside the parentheses?

• Subtract it from each term inside the parentheses

• Multiply it by each term inside the parentheses

• Divide it by each term inside the parentheses

• Add it to each term inside the parentheses

In the expression 3 * X^2 - X^2 * X, what is the result of simplifying the first term?

• 3

• 3X

• 3X^2

• 3X^3

What happens to the exponents when you multiply two terms with the same base?

• They are added

• They are subtracted

• They remain the same

• They are divided

What is the simplified form of -X * X^2?

• -X^3

• -X^2

• X^3

• X^2