Multiplying Polynomials by Monomials

U7L2

Multiply monomials by polynomials

Distribute -6p to

• -6p times p^4. Multiply -6•1 and p•p^4

• -6p^5

• -6p times -8. Multiply

• -6p^5 +48p

Open Ended

Distribute and enter your answer. Use the ^ key to show exponents. (i.e. x-squared would look like x^2).

Monomial times Trinomial

• Still distribute x to all three terms in the trinomial

• x•x^2 - x•x +x•3

• x^3 -x^2 +3x

Open Ended

Multiply the monomial to the trinomial by distributing the -3n.

More than one variable

• Distribute the p^2q^3

• Remember to add exponents when you multiply the same base

• p^7q^5 - p^3q^4

Multiple Choice

Distribute the 3ab to the binomial.

• $$7a^2b-4ab^3$$

• $$-9a^3b^3$$

• $$12a^3b-21ab^4$$

Multiple Choice

Distribute the

$$-7c^3d^2$$  

• $$-9c^9d^{11}$$  

• $$-63c^5d^4+28c^4d^7$$  

• $$-63c^6d^4+28c^3d^{10}$$  

Multiply and Add

• Distribute to get rid of parentheses

• Then combine like terms

•  $-35w^2+15w-26w+18w^3$  

•  $18w^3-35w^2-11w$  

Multiple Choice

Distribute then combine like terms.

• $$-6x^2+15x$$

• $$-6x^2+8x+7x$$

• $$9x^3$$