SOLUTION: Factor by grouping Please show me the steps to the solution! Thank you 2x3 - 8x2 - 9x + 36

Algebra ->  Expressions-with-variables -> SOLUTION: Factor by grouping Please show me the steps to the solution! Thank you 2x3 - 8x2 - 9x + 36      Log On


   

Question 115389: Factor by grouping Please show me the steps to the solution! Thank you

2x3 - 8x2 - 9x + 36
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2x%5E3-8x%5E2-9x%2B36 Start with the given expression

%282x%5E3-8x%5E2%29%2B%28-9x%2B36%29 Group like terms


2x%5E2%28x-4%29-9%28x-4%29 Factor out the GCF of 2x%5E2 out of the first group. Factor out the GCF of -9 out of the second group


%282x%5E2-9%29%28x-4%29 Since we have a common term of x-4, we can combine like terms

So 2x%5E3-8x%5E2-9x%2B36 factors to %282x%5E2-9%29%28x-4%29