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The quotient of the synthetic division problem is "f(x) = -2x² + 9x + 5" (Option C).
<h3>What is Synthetic Division?</h3>
When a polynomial division is executed using the shorthand method, using a linear factor, one is said to have executed a Synthetic Division.
The synthetic division translates to
- 2 15 -22 -15
<u>3 | -6 27 15</u>
-2 9 5 0
Citing the coefficient of the quotient of the first three numbers:
- 2, 9, 5. The last number is given as the remainder.
Hence the remainder is zero.
Given that the coefficient of the quotient are three, the interpretation is that the polynomial greatest degree is 2.
Thus,
f(x) = -2x² + 9x + 5
Learn more about synthetic division at:
brainly.com/question/18788426
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