Multiplying Polynomials Review

Front

Simplify: 5(3x+2)

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15x + 10

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(x - 3)(x + 10)

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x² + 7x - 30

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Simplify: 2x(-2x - 3)

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-4x² - 6x

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(x + 7)(x - 2)

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x² + 5x - 14

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(x + 2)(x + 3)

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x² + 5x + 6

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Definition: Polynomial

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A mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

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Definition: Degree of a Polynomial

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The highest power of the variable in a polynomial.

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Definition: Coefficient

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A numerical factor in a term of a polynomial.

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Definition: Like Terms

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Terms that have the same variable raised to the same power.

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Definition: Distributive Property

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a(b + c) = ab + ac; used to multiply a single term by two or more terms inside a parenthesis.