SOLUTION: Factor: 12x^3+2x^2-30x-5

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Factor: 12x^3+2x^2-30x-5      Log On


   

Question 595383: Factor:
12x^3+2x^2-30x-5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
12x%5E3%2B2x%5E2-30x-5 Start with the given expression


%2812x%5E3%2B2x%5E2%29%2B%28-30x-5%29 Group the terms in two pairs


2x%5E2%286x%2B1%29-5%286x%2B1%29 Factor out the GCF 2x%5E2 out of the first group. Factor out the GCF -5 out of the second group


%282x%5E2-5%29%286x%2B1%29 Since we have the common term 6x%2B1, we can combine like terms


So 12x%5E3%2B2x%5E2-30x-5 factors to %282x%5E2-5%29%286x%2B1%29


In other words, 12x%5E3%2B2x%5E2-30x-5=%282x%5E2-5%29%286x%2B1%29