Answer Key 6.4

  1. -(-4)^3-(-4)^2+6(-4)-21
    64-16-24-21
    3
  2. (-6)^2+3(-6)-11
    36-18-11
    7
  3. -5(-1)^4-11(-1)^3-9(-1)^2-(-1)-5
    -5+11-9+1-5
    -7
  4. (5)^4-5(5)^3-(5)+13
    625-625-5+13
    8
  5. (-3)^2+9(-3)+23
    9-27+23
    5
  6. -6(6)^3+41(6)^2-32(6)+11
    -1296+1476-192+11
    -1
  7. (6)^4-6(6)^3+(6)^2-24
    1296-1296+36-24
    12
  8. (-6)^4+8(-6)^3+14(-6)^2+13(-6)+5
    1296-1728+504-78+5
    -1
  9. \begin{array}{rrr} \\ \\ -5p^4&+&5p \\ +8p^4&-&8p \\ \midrule 3p^4&-&3p \end{array}
  10. \begin{array}{rrr} \\ \\ 5m^3&+&7m^2 \\ -6m^3&+&5m^2 \\ \midrule -m^3&+&12m^2 \end{array}
  11. \begin{array}{rrr} \\ \\ 5p^3&+&1 \\ 8p^3&-&1 \\ \midrule 13p^3&& \end{array}
  12. \begin{array}{rrr} \\ \\ 6x^3&+&5x \\ -6x^3&-&8x \\ \midrule &&-3x \end{array}
  13. \begin{array}{rrrrr} \\ \\ 5n^4&+&6n^3&& \\ -5n^4&-&3n^3&+&8 \\ \midrule &&3n^3&+&8 \end{array}
  14. \begin{array}{rrrrr} \\ \\ &&8x^2&+&1 \\ x^4&+&x^2&-&6 \\ \midrule x^4&+&9x^2&-&5 \end{array}
  15. \begin{array}{rrrrr} \\ \\ 2a^4&&&+&2a \\ 5a^4&-&3a^2&-&4a \\ \midrule 7a^4&-&3a^2&-&2a \end{array}
  16. \begin{array}{rrrrr} \\ \\ 8v^3&+&6v&& \\ 4v^3&-&3v&+&3 \\ \midrule 12v^3&+&3v&+&3 \end{array}
  17. \begin{array}{rrrrr} \\ \\ 4p^2&-&2p&-&3 \\ -3p^2&+&6p&-&3 \\ \midrule p^2&+&4p&-&6 \end{array}
  18. \begin{array}{rrrrr} \\ \\ 8m^4&+&4m&+&7 \\ -5m^4&-&6m&-&1 \\ \midrule 3m^4&-&2m&+&6 \end{array}
  19. \begin{array}{rrrrrrr} \\ \\ 4n^4&&&+&2n^2&+&3 \\ -4n^4&+&n^3&-&7n^2&& \\ \midrule &&n^3&-&5n^2&+&3 \\ \end{array}
  20. \begin{array}{rrrrr} \\ \\ 2x^4&+&7x^3&+&7x^2 \\ -8x^4&+&6x^3&-&7x^2 \\ \midrule -6x^4&+&13x^3&& \end{array}
  21. \begin{array}{rrrrrrr} \\ \\ 8r^4&-&5r^3&+&5r^2&& \\ -7r^4&+&2r^3&+&2r^2&+&1 \\ \midrule r^4&-&3r^3&+&7r^2&+&1 \end{array}
  22. \begin{array}{rrrrrrr} \\ \\ 4x^3&-&7x^2&+&x&& \\ 6x^3&+&x^2&+&2x&-&8 \\ \midrule 10x^3&-&6x^2&+&3x&-&8 \end{array}
  23. \begin{array}{rrrrrrr} \\ \\ 7n^4&&&+&2n^2&-&2 \\ 2n^4&+&2n^3&+&4n^2&+&2 \\ \midrule 9n^4&+&2n^3&+&6n^2&& \end{array}
  24. \begin{array}{rrrrrrr} \\ \\ 4b^4&+&7b^3&&&-&4b \\ -2b^4&-&8b^3&+&4b^2&+&8b \\ \midrule 2b^4&-&b^3&+&4b^2&+&4b \\ \end{array}
  25. \begin{array}{rrrrrrrrr} \\ \\ \\ &&7b^3&&&-&b&+&8 \\ -3b^4&&&-&7b^2&-&7b&+&8 \\ &&6b^3&&&-&3b&+&3 \\ \midrule -3b^4&+&13b^3&-&7b^2&-&11b&+&19 \end{array}
  26. \begin{array}{rrrrrrr} \\ \\ \\ -3n^4&-&8n^3&&&+&1 \\ 7n^4&+&3n^3&-&6n^2&+&2 \\ 8n^4&+&4n^3&&&+&7 \\ \midrule 12n^4&-&n^3&-&6n^2&+&10 \end{array}
  27. \begin{array}{rrrrrrr} \\ \\ \\ 8x^4&+&2x^3&+&2x&& \\ -x^4&-&2x^3&+&2x&+&2 \\ -5x^4&-&x^3&-&8x&& \\ \midrule 2x^4&-&x^3&-&4x&+&2 \\ \end{array}
  28. \begin{array}{rrrrrrr} \\ \\ \\ -5x^4&-&4x^2&+&6x&& \\ 4x^4&+&7x^2&-&2x&+&8 \\ 4x^4&+&6x^2&&&-&8 \\ \midrule 3x^4&+&9x^2&+&4x&& \end{array}

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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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