algebra 2 helpp

Question

Determine the quotent

(5x⁴+12x³-64x²-95x+132) divided by (x-3)

possible answers

A). 3x³+21x²+x-31

B). 3x³-21x²-x+31

C). 5x³+27x²+17x-44

D). 5x³-27x²-17x+44

Answer 1

There's three main approaches: Synthetic division, long division, and factoring.

Personally, synthetic division is best. Factoring requires a bit of ingenuity

Synthetic Division: First set x-3 = 0, x=3

1. So, we have (5 + 12 - 64 - 95 +132)/3
2. Drop the first term down, 5. Multiply by 3, then add 12, multiply that answer by 3 and add to -64. Repeat until you get to the last term. The answers you have will be one degree lower than the original polynomial.
3. Final answer would be C.

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