Answer Key 6.4
[latexpage]
- \(-(-4)^3-(-4)^2+6(-4)-21\)
\(64-16-24-21\)
\(3\) - \((-6)^2+3(-6)-11\)
\(36-18-11\)
\(7\) - \(-5(-1)^4-11(-1)^3-9(-1)^2-(-1)-5\)
\(-5+11-9+1-5\)
\(-7\) - \((5)^4-5(5)^3-(5)+13\)
\(625-625-5+13\)
\(8\) - \((-3)^2+9(-3)+23\)
\(9-27+23\)
\(5\) - \(-6(6)^3+41(6)^2-32(6)+11\)
\(-1296+1476-192+11\)
\(-1\) - \((6)^4-6(6)^3+(6)^2-24\)
\(1296-1296+36-24\)
\(12\) - \((-6)^4+8(-6)^3+14(-6)^2+13(-6)+5\)
\(1296-1728+504-78+5\)
\(-1\) - \(\begin{array}{rrr}
\\ \\
-5p^4&+&5p \\
+8p^4&-&8p \\
\midrule
3p^4&-&3p
\end{array}\) - \(\begin{array}{rrr}
\\ \\
5m^3&+&7m^2 \\
-6m^3&+&5m^2 \\
\midrule
-m^3&+&12m^2
\end{array}\) - \(\begin{array}{rrr}
\\ \\
5p^3&+&1 \\
8p^3&-&1 \\
\midrule
13p^3&&
\end{array}\) - \(\begin{array}{rrr}
\\ \\
6x^3&+&5x \\
-6x^3&-&8x \\
\midrule
&&-3x
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
5n^4&+&6n^3&& \\
-5n^4&-&3n^3&+&8 \\
\midrule
&&3n^3&+&8
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
&&8x^2&+&1 \\
x^4&+&x^2&-&6 \\
\midrule
x^4&+&9x^2&-&5
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
2a^4&&&+&2a \\
5a^4&-&3a^2&-&4a \\
\midrule
7a^4&-&3a^2&-&2a
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
8v^3&+&6v&& \\
4v^3&-&3v&+&3 \\
\midrule
12v^3&+&3v&+&3
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
4p^2&-&2p&-&3 \\
-3p^2&+&6p&-&3 \\
\midrule
p^2&+&4p&-&6
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
8m^4&+&4m&+&7 \\
-5m^4&-&6m&-&1 \\
\midrule
3m^4&-&2m&+&6
\end{array}\) - \(\begin{array}{rrrrrrr}
\\ \\
4n^4&&&+&2n^2&+&3 \\
-4n^4&+&n^3&-&7n^2&& \\
\midrule
&&n^3&-&5n^2&+&3 \\
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
2x^4&+&7x^3&+&7x^2 \\
-8x^4&+&6x^3&-&7x^2 \\
\midrule
-6x^4&+&13x^3&&
\end{array}\) - \(\begin{array}{rrrrrrr}
\\ \\
8r^4&-&5r^3&+&5r^2&& \\
-7r^4&+&2r^3&+&2r^2&+&1 \\
\midrule
r^4&-&3r^3&+&7r^2&+&1
\end{array}\) - \(\begin{array}{rrrrrrr}
\\ \\
4x^3&-&7x^2&+&x&& \\
6x^3&+&x^2&+&2x&-&8 \\
\midrule
10x^3&-&6x^2&+&3x&-&8
\end{array}\) - \(\begin{array}{rrrrrrr}
\\ \\
7n^4&&&+&2n^2&-&2 \\
2n^4&+&2n^3&+&4n^2&+&2 \\
\midrule
9n^4&+&2n^3&+&6n^2&&
\end{array}\) - \(\begin{array}{rrrrrrr}
\\ \\
4b^4&+&7b^3&&&-&4b \\
-2b^4&-&8b^3&+&4b^2&+&8b \\
\midrule
2b^4&-&b^3&+&4b^2&+&4b \\
\end{array}\) - \(\begin{array}{rrrrrrrrr}
\\ \\ \\
&&7b^3&&&-&b&+&8 \\
-3b^4&&&-&7b^2&-&7b&+&8 \\
&&6b^3&&&-&3b&+&3 \\
\midrule
-3b^4&+&13b^3&-&7b^2&-&11b&+&19
\end{array}\) - \(\begin{array}{rrrrrrr}
\\ \\ \\
-3n^4&-&8n^3&&&+&1 \\
7n^4&+&3n^3&-&6n^2&+&2 \\
8n^4&+&4n^3&&&+&7 \\
\midrule
12n^4&-&n^3&-&6n^2&+&10
\end{array}\) - \(\begin{array}{rrrrrrr}
\\ \\ \\
8x^4&+&2x^3&+&2x&& \\
-x^4&-&2x^3&+&2x&+&2 \\
-5x^4&-&x^3&-&8x&& \\
\midrule
2x^4&-&x^3&-&4x&+&2 \\
\end{array}\) - \(\begin{array}{rrrrrrr}
\\ \\ \\
-5x^4&-&4x^2&+&6x&& \\
4x^4&+&7x^2&-&2x&+&8 \\
4x^4&+&6x^2&&&-&8 \\
\midrule
3x^4&+&9x^2&+&4x&&
\end{array}\)
