Answer Key 6.7

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

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Intermediate Algebra (Convert to MathJax) Copyright © 2020 by Terrance Berg is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

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