Lesson 9.2 Multiplying Polynomials by Monomials

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What is a monomial?

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A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables raised to non-negative integer powers.

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What is a polynomial?

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A polynomial is an expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

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How do you multiply a monomial by a polynomial?

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To multiply a monomial by a polynomial, distribute the monomial to each term of the polynomial, multiplying coefficients and adding exponents of like bases.

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CCSS.HSA.APR.A.1

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What does it mean to combine like terms?

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Combining like terms involves adding or subtracting terms that have the same variable raised to the same power, simplifying the expression.

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CCSS.7.EE.A.1

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CCSS.HSA.APR.A.1

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CCSS.HSA.APR.A.1

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CCSS.HSA.APR.A.1

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CCSS.HSA.APR.A.1

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term in a polynomial.

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CCSS.6.EE.A.3

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What is a coefficient in a polynomial?

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A coefficient is a numerical factor in a term of a polynomial, representing how many times the variable is multiplied.

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CCSS.6.EE.A.2B