Practice Problems

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What is the Fundamental Theorem of Algebra?

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The Fundamental Theorem of Algebra states that every non-constant polynomial equation of degree n has exactly n complex roots, counting multiplicities.

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What is the degree of a polynomial?

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The degree of a polynomial is the highest power of the variable in the polynomial expression.

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How do you find the zeros of a polynomial?

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To find the zeros of a polynomial, set the polynomial equal to zero and solve for the variable.

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What is a polynomial function?

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What does it mean for a polynomial to have a double root?

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

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The leading coefficient of a polynomial is the coefficient of the term with the highest degree. It determines the end behavior of the polynomial function.

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How do you graph a polynomial function?

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To graph a polynomial function, identify the zeros, determine the end behavior, and plot points between the zeros to understand the shape of the graph.

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What is the relationship between the degree of a polynomial and the number of its zeros?

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The degree of a polynomial indicates the maximum number of zeros (real or complex) it can have.

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What is a rational root?

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