SOLUTION: Please factor completely and show a detailed solution. Thank you! 2x^3 - 3x^2

SOLUTION: Please factor completely and show a detailed solution. Thank you! 2x^3 - 3x^2 - 5x + 6

Question 1039622: Please factor completely and show a detailed solution. Thank you!
2x^3 - 3x^2 - 5x + 6
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
2x^3 - 3x^2 - 5x + 6
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Look for a zero.
Notice that 2+6 = -(3+5)--> try +1 and -1
f(x) = 2x^3 - 3x^2 - 5x + 6
f(1) = 2 - 3 - 5 + 6 = 0
1 is a zero --> (x-1) is a factor.
Divide by (x-1)
(2x^3 - 3x^2 - 5x + 6)/(x-1) = 2x^2 - x - 6
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--> (x-1)*(2x+3)*(x-2)

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