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Study Guide: Polynomials: Multiplying a Polynomial and a Monomial
Source: https://www.fatskills.com/algebra/chapter/polynomials-multiplying-a-polynomial-and-a-monomial

Polynomials: Multiplying a Polynomial and a Monomial

By Fatskills Exam Guides Team — the exam nerds behind 28,500+ quizzes and 2.1M practice questions across 500+ global exams.

⏱️ ~1 min read

When multiplying monomials, use the product rule for exponents.
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When multiplying a monomial by a polynomial, use the distributive property.
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Examples:
Example 1.  Multiply expressions. image
Solution: Use Distributive Property:
image

Example 2.  Multiply expressions. image
Solution: Use Distributive Property:

image

Example 3.  Multiply. image
Solution: Use Distributive Property:
image
Now simplify:

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