Polynomial End Behavior and zeros

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What is the end behavior of a polynomial function with an odd degree and a positive leading coefficient?

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What is the end behavior of a polynomial function with an even degree and a positive leading coefficient?

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What is the end behavior of a polynomial function with an odd degree and a negative leading coefficient?

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What is the end behavior of a polynomial function with an even degree and a negative leading coefficient?

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Define a zero of a polynomial function.

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Tags

CCSS.HSF-IF.C.7C

Front

How do you find the zeros of a polynomial function?

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What is the significance of the multiplicity of a zero?

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The multiplicity of a zero indicates how many times that zero is repeated in the polynomial. A zero with an odd multiplicity crosses the x-axis, while a zero with an even multiplicity touches the x-axis.

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What is the relationship between the degree of a polynomial and the number of zeros it can have?

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