# Complete the synthetic division problem below. ## $2 \mid 1 \quad 5 \quad- 14$ ## What is the quotient in polynomial form? A. $x- 7$ B. $x+ 5$ C. $x- 5$ D. $x+ 7$
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Answer

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Step 1
: Set up the synthetic division table.

\begin{array}{c|cc} & 1 & 5 \ - 2 & & \ \hline \end{array}

Step 2
: Bring down the first number from the polynomial.

\begin{array}{c|cc} & 1 \ - 2 & \ \hline 1 & 5 \ \end{array}

Final Answer

The quotient in polynomial form is $x + 1$.