SOLUTION: Is there an easy way to understand how to work these? Would someone please show me? FACTOR BY GROUPING 5x^3 - 15x^2 - 4x + 12

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Is there an easy way to understand how to work these? Would someone please show me? FACTOR BY GROUPING 5x^3 - 15x^2 - 4x + 12      Log On


   

Question 590916: Is there an easy way to understand how to work these? Would someone please show me?
FACTOR BY GROUPING
5x^3 - 15x^2 - 4x + 12
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5x%5E3-15x%5E2-4x%2B12 Start with the given expression


%285x%5E3-15x%5E2%29%2B%28-4x%2B12%29 Group the terms in two pairs


5x%5E2%28x-3%29-4%28x-3%29 Factor out the GCF 5x%5E2 out of the first group. Factor out the GCF -4 out of the second group


%285x%5E2-4%29%28x-3%29 Since we have the common term x-3, we can combine like terms


So 5x%5E3-15x%5E2-4x%2B12 factors to %285x%5E2-4%29%28x-3%29


In other words, 5x%5E3-15x%5E2-4x%2B12=%285x%5E2-4%29%28x-3%29 for all values of x.
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