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-2q^{4}-4q^{3}-q^{2}+2q-8q^{4}-q^{3}+5q^{2}-2q+4
To find the opposite of 8q^{4}+q^{3}-5q^{2}+2q-4, find the opposite of each term.
-10q^{4}-4q^{3}-q^{2}+2q-q^{3}+5q^{2}-2q+4
Combine -2q^{4} and -8q^{4} to get -10q^{4}.
-10q^{4}-5q^{3}-q^{2}+2q+5q^{2}-2q+4
Combine -4q^{3} and -q^{3} to get -5q^{3}.
-10q^{4}-5q^{3}+4q^{2}+2q-2q+4
Combine -q^{2} and 5q^{2} to get 4q^{2}.
-10q^{4}-5q^{3}+4q^{2}+4
Combine 2q and -2q to get 0.
-2q^{4}-4q^{3}-q^{2}+2q-8q^{4}-q^{3}+5q^{2}-2q+4
To find the opposite of 8q^{4}+q^{3}-5q^{2}+2q-4, find the opposite of each term.
-10q^{4}-4q^{3}-q^{2}+2q-q^{3}+5q^{2}-2q+4
Combine -2q^{4} and -8q^{4} to get -10q^{4}.
-10q^{4}-5q^{3}-q^{2}+2q+5q^{2}-2q+4
Combine -4q^{3} and -q^{3} to get -5q^{3}.
-10q^{4}-5q^{3}+4q^{2}+2q-2q+4
Combine -q^{2} and 5q^{2} to get 4q^{2}.
-10q^{4}-5q^{3}+4q^{2}+4
Combine 2q and -2q to get 0.