4.4E: Graphs of Polynomial Functions (Exercises)

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    For the following exercises, find all zeros of the polynomial function, noting multiplicities.

    13. \(f(x)=(x+3)^{2}(2 x-1)(x+1)^{3}\)

    14. \(f(x)=x^{5}+4 x^{4}+4 x^{3}\)

    15. \(f(x)=x^{3}-4 x^{2}+x-4\)

    For the following exercises, based on the given graph, determine the zeros of the function and note multiplicity.

    16.

    Graph of an odd-degree polynomial with two turning points.

    17.

    Graph of an even-degree polynomial with two turning points.

    18.

    Use the Intermediate Value Theorem to show that at least one zero lies between 2 and 3 for the function \[f(x)=x^{3}-5 x+1 \nonumber\]

    This page titled 4.4E: Graphs of Polynomial Functions (Exercises) was last modified on Tue, 08 Feb 2022 17:56:55 GMT and is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform.