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.

Tags

CCSS.HSF-IF.C.7C

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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.

Front

What does it mean for a polynomial to be factored?

Back

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.

Tags

CCSS.HSF-IF.C.7C

Front

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.

Front

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).

Front

How do you identify the factored form of a polynomial?

Back

Tags

CCSS.HSA.APR.B.3

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Back

Front

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

Back

Tags

CCSS.HSF-IF.C.7C