SOLUTION: Use synthetic division to find: (2x^3-5x^2+7x-1)/(x-1)

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Question 43476: Use synthetic division to find:
(2x^3-5x^2+7x-1)/(x-1)
Found 2 solutions by Nate, venugopalramana:
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%5E3+-+5x%5E2+%2B+7x+-+1%29%2F%28x+-+1%29
....
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(x - 1)|( 2x^3 - 5x^2 + 7x - 1)
(1) ~~~~ _2__-5____7___-1
....
_(1)_|___(2)___(-5)___(7)___(-1)___
__1__*__(2)___(-3)___(4)___(3)____
1 * 2 = 2 + (- 5) = -3 .... -3 * 1 = -3 + 7 = 4 .... 4 * 1 = 4 + (- 1) = 3
2x%5E2+-+3x+%2B+4+%2B+%283%2F%28x-1%29%29

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
(2x^3-5x^2+7x-1)/(x-1)..............put x-1=0...x=1
1|...2...............-5............7.............-1
.....0................2............-3.............4
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.....2................-3...........4..............3
hence...remainder =3...and....
quotient is.....2x^2-3x+4