2.2 Practice - Graphing Higher Order Polynomials

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What are the zeros of a polynomial function?

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The zeros of a polynomial function are the values of x for which the function equals zero. They are the points where the graph intersects the x-axis.

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How do you determine the degree of a polynomial?

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What is the significance of the leading coefficient in a polynomial?

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The leading coefficient is the coefficient of the term with the highest degree. It affects the end behavior of the polynomial's graph.

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What does it mean for a polynomial to be factored?

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Factoring a polynomial means expressing it as a product of its factors, which can be linear or quadratic expressions.

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Set each factor equal to zero: x = 0, x - 1 = 0 (x = 1), x + 2 = 0 (x = -2), x - 3 = 0 (x = 3). The zeros are 0, 1, -2, and 3.

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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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A polynomial of degree n can have up to n real zeros, counting multiplicities.

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What is the difference between even and odd degree polynomials?

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Even degree polynomials have the same end behavior (both ends up or both ends down), while odd degree polynomials have opposite end behavior (one end up and one end down).

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How do you identify the factored form of a polynomial?

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What does it mean for a polynomial to have a multiplicity?

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