SOLUTION: Please help me solve this polynomial long division problem: (2x-3)/(2x^3-9x^2+13x-6) this is on a worksheet, not in a textbook. thank you!

Question 108726: Please help me solve this polynomial long division problem:
(2x-3)/(2x^3-9x^2+13x-6)
this is on a worksheet, not in a textbook.
thank you!
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
2x goes into 2x^3, x^2 times ... x^2 times 2x-3 is 2x^3-3x^2 ... subtracting gives -6x^2

2x goes into -6x^2, -3x times ... -3x times 2x-3 is -6x^2+9x ... subtracting gives 4x

2x goes into 4x, 2 times ... 2 times 2x-3 is 4x-6 ... subtracting gives 0

so (2x-3) goes into (2x^3-9x^2+13x-6), (x^2-3x+2) times
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