Answer Key 6.7

  1. \begin{array}{ccccc} \\ \\ \\ \dfrac{20x^4}{4x^3}&+&\dfrac{x^3}{4x^3}&+&\dfrac{2x^2}{4x^3} \\ \\ 5x&+&\dfrac{1}{4}&+&\dfrac{1}{2x} \end{array}
  2. \begin{array}{ccccc} \\ \\ \\ \dfrac{5x^4}{9x}&+&\dfrac{45x^3}{9x}&+&\dfrac{4x^2}{9x} \\ \\ \dfrac{5}{9}x^3&+&5x^2&+&\dfrac{4}{9}x \end{array}
  3. \begin{array}{ccccc} \\ \\ \\ \dfrac{20n^4}{10n}&+&\dfrac{n^3}{10n}&+&\dfrac{40n^2}{10n} \\ \\ 2n^3&+&\dfrac{n^2}{10}&+&4n \end{array}
  4. \begin{array}{ccccc} \\ \\ \\ \dfrac{3k^3}{8k}&+&\dfrac{4k^2}{8k}&+&\dfrac{2k}{8k} \\ \\ \dfrac{3}{8}k^2&+&\dfrac{k}{2}&+&\dfrac{1}{4} \end{array}
  5. \begin{array}{ccccc} \\ \\ \\ \dfrac{12x^4}{6x}&+&\dfrac{24x^3}{6x}&+&\dfrac{3x^2}{6x} \\ \\ 2x^3&+&4x^2&+&\dfrac{x}{2} \end{array}
  6. \begin{array}{ccccc} \\ \\ \\ \dfrac{5p^4}{4p}&+&\dfrac{16p^3}{4p}&+&\dfrac{16p^2}{4p} \\ \\ \dfrac{5}{4}p^3&+&4p^2&+&4p \end{array}
  7. \begin{array}{ccccc} \\ \\ \\ \dfrac{10n^4}{10n^2}&+&\dfrac{50n^3}{10n^2}&+&\dfrac{2n^2}{10n^2} \\ \\ n^2&+&5n&+&\dfrac{1}{5} \end{array}
  8. \begin{array}{ccccc} \\ \\ \\ \dfrac{3m^4}{9m^2}&+&\dfrac{18m^3}{9m^2}&+&\dfrac{27m^2}{9m^2} \\ \\ \dfrac{m^2}{3}&+&2m&+&3 \end{array}
  9. \polylongdiv{45x^2 + 56x + 16}{9x + 4}
  10. \polylongdiv{6x^2+16x+16}{6x-2}\hspace{0.5in} \text{ or } x+3+\dfrac{22}{6x-2}
  11. \polylongdiv{10x^2-32x+6}{10x-2}
  12. \polylongdiv{x^2+7x+12}{x+4}
  13. \polylongdiv{4x^2-33x+35}{4x-5}
  14. \polylongdiv{4x^2-23x-35}{4x+5}
  15. \polylongdiv{x^3+15x^2+49x-49}{x+7}
  16. \polylongdiv{6x^3-12x^2-43x-20}{x-4}
  17. \polylongdiv{x^3-6x-40}{x+4} \hspace{0.5in} \text{ or } x^2-4x+10-\dfrac{80}{x+4}
  18. \polylongdiv{x^3-16x^2+512}{x-8}
  19. \polylongdiv{x^3-x^2-8x-16}{x-4}
  20. \polylongdiv{2x^3+6x^2+4x+12}{2x+6}
  21. \polylongdiv{12x^3+12x^2-15x-9}{2x+3}
  22. \polylongdiv{6x+18-21x^2+4x^3}{4x+3}

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Intermediate Algebra by Terrance Berg is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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