Synthetic division of polynomials
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1 Answer

2x-3 implies x=3/2 as a factor.

3/2 | 6 -11 11...-2

........6....9 -3...12

........6...-2..8 | 10

The result implies (x-3/2)(6x^2-2x+8) or (2x-3)(3x^2-x+4)=6x^3-11x^2+11-12+10 where 10 is the remainder. I suspect the last figure should have been -12 not -2. This would have brought the remainder to zero, and the quotient would have been 3x^2-x+4 with no remainder.

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