SOLUTION: how do you factor: x^3-4x^2+x+6

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Question 458429: how do you factor: x^3-4x^2+x+6
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E3-4x%5E2%2Bx%2B6....replace -4x%5E2 with x%5E2-5x%5E2 and x with 6x-5x
x%5E3%2Bx%5E2-5x%5E2%2B6x-5x%2B6.....group

%28x%5E3%2Bx%5E2%29-%285x%5E2%2B5x%29%2B%286x%2B6%29

x%5E2%28x%2B1%29-5x%28x%2B1%29%2B6%28x%2B1%29

%28x%5E2-5x%2B6%29%28x%2B1%29.......replace -5x with -2x-3x

%28x%5E2-2x-3x%2B6%29%28x%2B1%29

%28%28x%5E2-2x%29-%283x-6%29%29%28x%2B1%29

%28x%28x-2%29-3%28x-2%29%29%28x%2B1%29

%28x-3%29+%28x-2%29+%28x%2B1%29