SOLUTION: Factor the polynomial completely 3x^3-6x^2-5x+10

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Question 475596: Factor the polynomial completely
3x^3-6x^2-5x+10
Found 2 solutions by MathLover1, jim_thompson5910:
Answer by MathLover1(20850) About Me  (Show Source):
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3x%5E3-6x%5E2-5x%2B10 Start with the given expression


%283x%5E3-6x%5E2%29%2B%28-5x%2B10%29 Group like terms


3x%5E2%28x-2%29-5%28x-2%29 Factor out the GCF 3x%5E2 out of the first group. Factor out the GCF -5 out of the second group


%283x%5E2-5%29%28x-2%29 Since we have the common term x-2, we can combine like terms


So 3x%5E3-6x%5E2-5x%2B10 factors to %283x%5E2-5%29%28x-2%29


In other words, 3x%5E3-6x%5E2-5x%2B10=%283x%5E2-5%29%28x-2%29