......x^2-5x+2
------------------------
x-1)x^3-6x^2+7x-2
......x^3-x^2
--------------------------
..............-5x^2+7x
..............-5x^2+5x
-------------------------
..........................2x-2
..........................2x-2
--------------------------
.............................0
The quotient is x^2-5x+2
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7x(3x3 - 2x2 + 5x + 1)
6x2 + 7x - 5 = (3x + 5)(2x - 1)
(3x+1)(x+2)
(x + 1)(2x + 5)
(2x + 1)(x + 3) are the factors.