Use a vertical format to subtract the polynomials.
-$$\begin{array} { l }
4 x ^ { 4 } - 4 x ^ { 3 } + 7 x ^ { 2 } \
- \left( \quad - x ^ { 3 } - 9 x ^ { 2 } + x - 14 \right) \
\hline
\end{array}$$
A) $4 x ^ { 4 } - 3 x ^ { 3 } - 2 x ^ { 2 } + x - 14$
B) $4 x ^ { 4 } - 3 x ^ { 3 } + 16 x ^ { 2 } - x + 14$
C) $4 x ^ { 4 } - 5 x ^ { 3 } + 16 x ^ { 2 } + x - 14$
D) $4 x ^ { 4 } - 5 x ^ { 3 } - 2 x ^ { 2 } - x + 14$

Question

Use a vertical format to subtract the polynomials.
-$$\begin{array} { l } 
4 x ^ { 4 } - 4 x ^ { 3 } + 7 x ^ { 2 } \
- \left( \quad - x ^ { 3 } - 9 x ^ { 2 } + x - 14 \right) \
\hline
\end{array}$$
A) $4 x ^ { 4 } - 3 x ^ { 3 } - 2 x ^ { 2 } + x - 14$
B) $4 x ^ { 4 } - 3 x ^ { 3 } + 16 x ^ { 2 } - x + 14$
C) $4 x ^ { 4 } - 5 x ^ { 3 } + 16 x ^ { 2 } + x - 14$
D) $4 x ^ { 4 } - 5 x ^ { 3 } - 2 x ^ { 2 } - x + 14$

Quizplus · Accepted Answer

Subtracting the polynomial involves changing the signs of the second polynomial and then adding it to the first. The correct subtraction yields $4x^4 - 3x^3 + 16x^2 - x + 14$.

Use a Vertical Format to Subtract the Polynomials 4x4−4x3+7x2−(−x3−9x2+x−14)\begin{array} { l } 4 x ^ { 4 } - 4 x ^ { 3 } + 7 x ^ { 2 } \\- \left( \quad - x ^ { 3 } - 9 x ^ { 2 } + x - 14 \right) \\\hline\end{array}4x4−4x3+7x2−(−x3−9x2+x−14)​​

Use a Vertical Format to Subtract the Polynomials $\begin{array} { l } 4 x ^ { 4 } - 4 x ^ { 3 } + 7 x ^ { 2 } \\- \left( \quad - x ^ { 3 } - 9 x ^ { 2 } + x - 14 \right) \\\hline\end{array}$