SOLUTION: Factor the expression {{{x^3-4x^2+5x-2}}}

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Question 665821: Factor the expression
x%5E3-4x%5E2%2B5x-2
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3-4x%5E2%2B5x-2..replace -4x%5E2 with -2x%5E2-2x%5E2, and 5x with 4x%2Bx
x%5E3-2x%5E2-2x%5E2%2B4x%2Bx-2..group

%28x%5E3-2x%5E2%29%2B%28%28-2x%5E2%2B4x%29%2B%28x-2%29%29

x%5E2%28x-2%29%2B%28-2x%28x-2%29%2B%28x-2%29%29

x%5E2%28x-2%29%2B%28-2x%2B1%29%28x-2%29%29

%28x%5E2%2B%28-2x%2B1%29%29%28x-2%29

%28x%5E2-2x%2B1%29%28x-2%29

%28x-1%29%5E2%28x-2%29