SOLUTION: factor completely: x^3-2x^2+7x-14

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: factor completely: x^3-2x^2+7x-14      Log On


   

Question 101317: factor completely:
x^3-2x^2+7x-14
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3-2%2Ax%5E2%2B7%2Ax-14 Start with the given cubic polynomial

%28x%5E3-2%2Ax%5E2%29%2B%287%2Ax-14%29 Group like terms

x%5E2%28x-2%29%2B7%28x-2%29 Factor out the GCF


%28x%5E2%2B7%29%28x-2%29 Combine like terms