Multiply Monomials and Polynomials

Find the product:
2x( -2x - 3)

• -4x - 3

• x² - 3

• -4x² - 6x

• -4x - 6

(4a + 2)(6a² − a + 2)

• 24a³ + 16a² + 6a + 4

• 24a³ + 8a² + 10a + 4

• 24a³ + 8a² + 6a + 4

• 24a³ - 8a² - 6a + 4

Find the product:
5xy(6x - y)

• 11x² - y²

• 30x² + y²

• 30x²y - 5xy²

• 11x²y + 5x²y²

When you multiply polynomials, what do you do with the exponents?

• Add them

• Multiply them

• Nothing

When you multiply polynomials, what do you do with the coefficients?

• Add them

• Multiply them

• Nothing

If you multiply a monomial times a binomial, how many terms will the product have?

• one

• two

• three

• four

If you multiply a monomial times a trinomial, how many terms will the product have?

• one

• two

• three

• four

How to multiply a monomial by a polynomial?

• Remove all variables in the polynomial then multiply.

• Combining like terms

• A single term polynomial.

• Distribute the monomial throughout the polynomial.

Multiply the following polynomial by the monomial:

3x(4x² - x - 3)

• 12x² - 3x - 9

• 7x³ - 3x² - 6x

• 12x³ - 3x² - 9x

• 12x³ - 3x² - 6

Multiply the following polynomial by the monomial:

-x³(2x³ - x² + 5)

• -2x⁶ + x⁵ - 5x³

• -2x⁹ + x⁶ - 5x³

• -2x⁶ - x⁵ - 5x³

• -2x⁶ - x⁵ - 5