Use Synthetic Division to Determine the Quotient and Remainder for the Division

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 4 x ^ { 4 } - x ^ { 3 } + 2 x ^ { 2 } - 7 x - 1 \right) \div ( x + 1 )$

A) $$Q : 4 x ^ { 3 } - 5 x ^ { 2 } + 7 x - 14$$
$\mathrm { R } : 13$
B) $$Q : 4 x ^ { 3 } - 5 x ^ { 2 } - 7 x - 14$$
$\mathrm { R } : 0$
C) $$Q : 4 x ^ { 3 } - 5 x ^ { 2 } - 7 x - 14$$
$\mathrm { R } : 13$
D) $\begin{array} { l } \mathrm { Q } : 4 x ^ { 3 } - 5 x ^ { 2 } - 7 x - 14 \\\mathrm { R } : - 13\end{array}$
E) $$Q : 4 x ^ { 3 } - 5 x ^ { 2 } + 7 x - 14$$
$\mathrm { R } : 0$

Correct Answer:

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