SOLUTION: factor by grouping x^3-3x^2+4x-12

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: factor by grouping x^3-3x^2+4x-12      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 37709: factor by grouping x^3-3x^2+4x-12
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Factor by grouping:
x%5E3-3x%5E2%2B4x-12
Group the terms like this:
%28x%5E3-3x%5E2%29%2B%284x-12%29 Factor x%5E2 from the first group and 4 from the second group:
x%5E2%28x-3%29%2B4%28x-3%29 Factor the common %28x-3%29
%28x-3%29%28x%5E2%2B4%29