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Answer :
The quotient is 1x^2 + 3x - 16, and the remainder is 0.
To complete the synthetic division problem, you need to divide the polynomial by the given divisor.
In this case, the divisor is 2.
Start by writing the coefficients of the polynomial in descending order, filling in any missing terms with zeros.
Then, perform the synthetic division:
2 | 1 5 -14
- 2
----------
1 3 -16
The quotient is 1x^2 + 3x - 16, and the remainder is 0.
So, the synthetic division problem is completed with the quotient and remainder.
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