Multiply Polynomials: Section 8.7B Challenge

What is the main topic of section 87b?

• Dividing polynomials

• Subtracting polynomials

• Multiplying polynomials

• Adding polynomials

Why does the FOIL method break down when multiplying a binomial and a trinomial?

• It only works for trinomials

• It is too complex

• It doesn't include all terms in the multiplication

• It only works for monomials

What property is recommended to use instead of FOIL for multiplying a binomial and a trinomial?

• Associative property

• Distributive property

• Commutative property

• Identity property

When using the distributive property, what do you do with the first term in the first set of parentheses?

• Divide it by all terms in the second set of parentheses

• Subtract it from all terms in the second set of parentheses

• Multiply it by all terms in the second set of parentheses

• Add it to all terms in the second set of parentheses

What is the result of distributing 4X to 2x squared?

• 8x cubed

• 8x squared

• 6x squared

• 6x cubed

After distributing and collecting like terms, what is the simplified form of 4X(2x^2 - 5X + 3) + 9x(2x^2 - 5X + 3)?

• 8X^3 - 2X^2 - 33X - 27

• 8X^3 - 2X^2 + 33X + 27

• 8X^3 + 2X^2 - 33X + 27

• 8X^3 - 2X^2 - 33X + 27

What is the first step in multiplying polynomials using the distributive property?

• Combine like terms

• Distribute each term in the first polynomial to each term in the second polynomial

• Factor the polynomials

• Simplify the polynomials

What is the result of distributing Y squared to 6Y^2?

• 6Y^6

• 6Y^4

• 6Y^5

• 6Y^3

In the final example, what is the result of 3K times 2K squared?

• 5K cubed

• 5K squared

• 6K cubed

• 6K squared

What is the simplified form of 3K(2K^2 + 4 - 3) - 5(2K^2 + 4 - 3)?

• 6K^3 + 2K^2 - 29K - 15

• 6K^3 + 2K^2 - 29K + 15

• 6K^3 - 2K^2 - 29K + 15

• 6K^3 - 2K^2 + 29K + 15