Perform the indicated operation.
-$$\begin{array} { r }
5 x ^ { 9 } + 3 x ^ { 8 } + 4 x ^ { 7 } - 1 \
- \left( 7 x ^ { 9 } + 7 x ^ { 8 } - 6 x ^ { 7 } - 7 \right) \
\hline
\end{array}$$
A) $12 x ^ { 9 } + 10 x ^ { 8 } - 2 x ^ { 7 } + 6$
B) $- 2 x ^ { 9 } - 4 x ^ { 8 } + 10 x ^ { 7 } + 6$
C) $12 x ^ { 9 } + 10 x ^ { 8 } - 2 x ^ { 7 } - 8$
D) $- 2 x ^ { 9 } + 10 x ^ { 8 } - 2 x ^ { 7 } - 8$

Question

Perform the indicated operation.
-$$\begin{array} { r } 
5 x ^ { 9 } + 3 x ^ { 8 } + 4 x ^ { 7 } - 1 \
- \left( 7 x ^ { 9 } + 7 x ^ { 8 } - 6 x ^ { 7 } - 7 \right) \
\hline
\end{array}$$
A) $12 x ^ { 9 } + 10 x ^ { 8 } - 2 x ^ { 7 } + 6$
B) $- 2 x ^ { 9 } - 4 x ^ { 8 } + 10 x ^ { 7 } + 6$
C) $12 x ^ { 9 } + 10 x ^ { 8 } - 2 x ^ { 7 } - 8$
D) $- 2 x ^ { 9 } + 10 x ^ { 8 } - 2 x ^ { 7 } - 8$

Quizplus · Accepted Answer

Subtracting the second polynomial from the first involves changing the signs of the second polynomial and then adding the like terms. This results in $-2x^9 - 4x^8 + 10x^7 + 6$.

Perform the Indicated Operation A) 12x9+10x8−2x7+612 x ^ { 9 } + 10 x ^ { 8 } - 2 x ^ { 7 } + 612x9+10x8−2x7+6

Perform the Indicated Operation A) $12 x ^ { 9 } + 10 x ^ { 8 } - 2 x ^ { 7 } + 6$