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 raised to whole number powers and coefficients, 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 the coefficients and adding the exponents of like bases.

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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 sum.

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What is the degree of a polynomial?

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The degree of a polynomial is the highest power of the variable in the polynomial.