SOLUTION: I am having trouble with this problem. Can you help me please? Factor by grouping 24x^3+6x^2-4x-1 Thank you so much!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I am having trouble with this problem. Can you help me please? Factor by grouping 24x^3+6x^2-4x-1 Thank you so much!      Log On


   

Question 131055: I am having trouble with this problem. Can you help me please?
Factor by grouping
24x^3+6x^2-4x-1
Thank you so much!
Found 2 solutions by jim_thompson5910, checkley71:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

24x%5E3%2B6x%5E2-4x-1 Start with the given expression

%2824x%5E3%2B6x%5E2%29%2B%28-4x-1%29 Group like terms


6x%5E2%284x%2B1%29-1%284x%2B1%29 Factor out the GCF 6x%5E2 out of the first group. Factor out the GCF -1 out of the second group


%286x%5E2-1%29%284x%2B1%29 Since we have the common term 4x%2B1, we can combine like terms

So 24x%5E3%2B6x%5E2-4x-1 factors to %286x%5E2-1%29%284x%2B1%29

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
24X^3+6X^2-4X-1
6X^2(4X+1)-1(4X+1)
(6X^2-1)(4X+1)