SOLUTION: Factor 14x^3-7x^2+6x-3

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Question 189975: Factor
14x^3-7x^2+6x-3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

14x%5E3-7x%5E2%2B6x-3 Start with the given expression


%2814x%5E3-7x%5E2%29%2B%286x-3%29 Group like terms


7x%5E2%282x-1%29%2B3%282x-1%29 Factor out the GCF 7x%5E2 out of the first group. Factor out the GCF 3 out of the second group


%287x%5E2%2B3%29%282x-1%29 Since we have the common term 2x-1, we can combine like terms


So 14x%5E3-7x%5E2%2B6x-3 factors to %287x%5E2%2B3%29%282x-1%29