SOLUTION: How do I factor this by grouping {{{35x^3-20x^2+21x-12}}}? Thank you.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do I factor this by grouping {{{35x^3-20x^2+21x-12}}}? Thank you.       Log On


   

Question 583096: How do I factor this by grouping 35x%5E3-20x%5E2%2B21x-12? Thank you.
Found 2 solutions by Earlsdon, JBarnum:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor by grouping:
35x%5E3-20x%5E2%2B21x-12 Group the terms as shown:
%2835x%5E3-20x%5E2%29%2B%2821x-12%29 Now factor 5x%5E2 from the first group and 3 from the second group.
5x%5E2%287x-4%29%2B3%287x-4%29 Now factor the common factor of (7x-4)
%287x-4%29%285x%5E2%2B3%29 and we're done.

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
35x%5E3-20x%5E2%2B21x-12 group them in brackets
%2835x%5E3-20x%5E2%29%2B%2821x-12%29 factore out gcf
%285x%5E2%287x-4%29%2B3%287x-4%29%29 factor out the 7x-4
%287x-4%29%285x%5E2%2B3%29