Use synthetic division to find the quotient and the remainder. $\frac { 5 x ^ { 2 } + 2 x - 1 } { x - 1 }$
A) $\text { quotient: } - 6 x + 5 \text {; remainder: } - 7$
B) $\text { quotient: } 5 x + 7 \text {; remainder: } 6$
C) $\text { quotient: } 7 x + 6 \text {; remainder: } 7$
D) $\text { quotient: } 7 x - 5 \text {; remainder: } 6$
E) $\text { quotient: } 5 x + 7 \text {; remainder: } - 8$

Question

Quizplus · Accepted Answer

We set up the synthetic division as shown below:

\begin{array}{c|ccc} -1 & 5 & 2 & -1 \ \hline & & -5 & 3 \ & & & \underline{+5} \ & & & 6 \end{array}

Therefore, the quotient is $5x+7$ and the remainder is 6. The answer is $\boxed{	ext{B}}.$

Use Synthetic Division to Find the Quotient and the Remainder 5x2+2x−1x−1\frac { 5 x ^ { 2 } + 2 x - 1 } { x - 1 }x−15x2+2x−1​

Use Synthetic Division to Find the Quotient and the Remainder $\frac { 5 x ^ { 2 } + 2 x - 1 } { x - 1 }$