Use a vertical format to subtract the polynomials.
-$\begin{array} { r }
5 x ^ { 6 } + 6 x ^ { 5 } - 3 x ^ { 4 } - 1 \
- \left( 7 x ^ { 6 } + 4 x ^ { 5 } - 5 x ^ { 4 } + 7 \right) \
\hline
\end{array}$
A) $12 x ^ { 6 } + 10 x ^ { 5 } - 8 x ^ { 4 } + 6$
B) $12 x ^ { 6 } + 10 x ^ { 5 } - 8 x ^ { 4 } - 8$
C) $- 2 x ^ { 6 } + 2 x ^ { 5 } + 2 x ^ { 4 } - 8$
D)- $- 2 x ^ { 6 } + 10 x ^ { 5 } - 8 x ^ { 4 } + 6$

Question

Use a vertical format to subtract the polynomials.
-$\begin{array} { r } 
5 x ^ { 6 } + 6 x ^ { 5 } - 3 x ^ { 4 } - 1 \
- \left( 7 x ^ { 6 } + 4 x ^ { 5 } - 5 x ^ { 4 } + 7 \right) \
\hline
\end{array}$
A) $12 x ^ { 6 } + 10 x ^ { 5 } - 8 x ^ { 4 } + 6$
B) $12 x ^ { 6 } + 10 x ^ { 5 } - 8 x ^ { 4 } - 8$
C) $- 2 x ^ { 6 } + 2 x ^ { 5 } + 2 x ^ { 4 } - 8$
D)- $- 2 x ^ { 6 } + 10 x ^ { 5 } - 8 x ^ { 4 } + 6$

Quizplus · Accepted Answer

Subtracting the second polynomial from the first involves changing the signs of the second polynomial and then adding. The correct subtraction yields $-2x^6 + 2x^5 + 2x^4 - 8$.

Use a Vertical Format to Subtract the Polynomials A) 12x6+10x5−8x4+612 x ^ { 6 } + 10 x ^ { 5 } - 8 x ^ { 4 } + 612x6+10x5−8x4+6

Use a Vertical Format to Subtract the Polynomials A) $12 x ^ { 6 } + 10 x ^ { 5 } - 8 x ^ { 4 } + 6$