Use a vertical format to subtract the polynomials.
-$\begin{array} { l }
3 x ^ { 4 } - 6 x ^ { 3 } + 9 x ^ { 2 } \
- \left( \quad - x ^ { 3 } - 7 x ^ { 2 } + x - 7 \right)\\hline
\end{array}$
A) $3 x ^ { 4 } - 7 x ^ { 3 } + 2 x ^ { 2 } - x + 7$
B) $3 x ^ { 4 } - 5 x ^ { 3 } + 16 x ^ { 2 } - x + 7$
C) $3 x ^ { 4 } - 7 x ^ { 3 } + 16 x ^ { 2 } + x - 7$
D) $3 x ^ { 4 } - 5 x ^ { 3 } + 2 x ^ { 2 } + x - 7$

Question

Use a vertical format to subtract the polynomials.
-$\begin{array} { l } 
3 x ^ { 4 } - 6 x ^ { 3 } + 9 x ^ { 2 } \
- \left( \quad - x ^ { 3 } - 7 x ^ { 2 } + x - 7 \right)\\hline
\end{array}$
A) $3 x ^ { 4 } - 7 x ^ { 3 } + 2 x ^ { 2 } - x + 7$
B) $3 x ^ { 4 } - 5 x ^ { 3 } + 16 x ^ { 2 } - x + 7$
C) $3 x ^ { 4 } - 7 x ^ { 3 } + 16 x ^ { 2 } + x - 7$
D) $3 x ^ { 4 } - 5 x ^ { 3 } + 2 x ^ { 2 } + x - 7$

Quizplus · Accepted Answer

Subtracting the polynomials vertically involves changing the signs of the second polynomial and then adding the like terms. The correct subtraction yields $3x^4 - 5x^3 + 16x^2 - x + 7$.

Use a Vertical Format to Subtract the Polynomials 3x4−6x3+9x2−(−x3−7x2+x−7)\begin{array} { l } 3 x ^ { 4 } - 6 x ^ { 3 } + 9 x ^ { 2 } \\- \left( \quad - x ^ { 3 } - 7 x ^ { 2 } + x - 7 \right)\\\hline\end{array}3x4−6x3+9x2−(−x3−7x2+x−7)​​

Use a Vertical Format to Subtract the Polynomials $\begin{array} { l } 3 x ^ { 4 } - 6 x ^ { 3 } + 9 x ^ { 2 } \\- \left( \quad - x ^ { 3 } - 7 x ^ { 2 } + x - 7 \right)\\\hline\end{array}$