Multiplying Polynomials and Exponents

The video tutorial explains how to apply the distributive property with exponents in a polynomial expression. It begins by introducing the concept and proceeds with step-by-step instructions. Step one involves multiplying the outside term with each term in the polynomial. Step two focuses on adding exponents when the variables are the same. The tutorial concludes with final calculations, demonstrating the complete solution to the problem.

What is the first step in applying the distributive property with exponents?

• Add the exponents of the variables.

• Multiply the outside term with each term in the polynomial.

• Subtract the exponents of the variables.

• Divide the polynomial by the outside term.

When multiplying terms with the same variable, what should you do with the exponents?

• Add the exponents.

• Multiply the exponents.

• Subtract the exponents.

• Divide the exponents.

What is the result of multiplying 3x^3 by 9x^2?

• 27x^6

• 27x^5

• 12x^5

• 12x^6

What happens to the term y^2 when there is no corresponding y term in the outside term?

• It is ignored.

• It is added to the outside term.

• It is multiplied by the outside term.

• It remains unchanged and is brought down.

What is the final result of multiplying 3x^3 by 5?

• 15x^5

• 12x^3

• 12x^5

• 15x^3