Answer :
Remainder for the Synthetic Division Problem will be -7
What is Synthetic Division?
Synthetic division is defined as the shorthand or shortcut method of polynomial division in the special case of dividing by a linear factor. Synthetic division is usually used not for dividing out factors but usually for finding zeroes or roots of polynomials.
Step-by-step explanation:
-8 / 2 14 9
-16 -16
2 -2 -7
Step 1: Carry down the first number 2 as it is
Step 2: Multiply 2 by -8 [2 ×-8= -16] and write down this -16 under the next number 14 and then add. 14 -16= -2
Step 3: Multiply -2 by -8 [-2×-8] and write down this -16 under the next number 9 and then add. 9-16 = -7
Therefore,-7 will be the Remainder.
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