SOLUTION: Factor by grouping 6x^3-15x^2+14x-35

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Question 261678: Factor by grouping 6x^3-15x^2+14x-35
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
6x%5E3-15x%5E2%2B14x-35 Start with the given expression.


%286x%5E3-15x%5E2%29%2B%2814x-35%29 Pair up the terms.


3x%5E2%282x-5%29%2B%2814x-35%29 Factor out the GCF 3x%5E2 from the first group


3x%5E2%282x-5%29%2B7%282x-5%29 Factor out the GCF 7 from the second group


%283x%5E2%2B7%29%282x-5%29 Factor out the common term 2x-5


So 6x%5E3-15x%5E2%2B14x-35 factors to %283x%5E2%2B7%29%282x-5%29


In other words, 6x%5E3-15x%5E2%2B14x-35=%283x%5E2%2B7%29%282x-5%29