QSE Review Polynomial Functions

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What is a polynomial function?

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What does it mean for a polynomial to be factored?

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How do you determine the roots of a polynomial function?

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What is the significance of the degree of a polynomial?

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The degree of a polynomial indicates the highest power of the variable in the expression. It determines the polynomial's end behavior and the maximum number of roots it can have.

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What is the difference between a polynomial and a rational function?

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What is the process of solving polynomial inequalities?

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To solve polynomial inequalities, first find the roots of the corresponding polynomial equation, then test intervals between the roots to determine where the inequality holds true.

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What does it mean for a polynomial to be in standard form?

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What is the role 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 function: if positive, the function rises to the right; if negative, it falls to the right.

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What is the importance of the discriminant in polynomial equations?

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