4.5E: Dividing Polynomials (Exercises)

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    For the following exercises, use long division to find the quotient and remainder.

    19. \(\frac{x^{3}-2 x^{2}+4 x+4}{x-2}\)

    20. \(\frac{3 x^{4}-4 x^{2}+4 x+8}{x+1}\)

    For the following exercises, use synthetic division to find the quotient. If the divisor is a factor, then write the factored form.

    21. \(\frac{x^{3}-2 x^{2}+5 x-1}{x+3}\)

    22. \(\frac{x^{3}+4 x+10}{x-3}\)

    23. \(\frac{2 x^{3}+6 x^{2}-11 x-12}{x+4}\)

    24. \(\frac{3 x^{4}+3 x^{3}+2 x+2}{x+1}\)

    This page titled 4.5E: Dividing Polynomials (Exercises) was last modified on Tue, 08 Feb 2022 17:56:57 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.