SOLUTION: Factor each polynomial by grouping the first two terms and the last two terms. x^3 - 4x^2 + 2x - 8

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor each polynomial by grouping the first two terms and the last two terms. x^3 - 4x^2 + 2x - 8      Log On


   

Question 92358: Factor each polynomial by grouping the first two terms and the last two terms.
x^3 - 4x^2 + 2x - 8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3-4%2Ax%5E2%2B2%2Ax-8 Start with the given cubic polynomial

%28x%5E3-4%2Ax%5E2%29%2B%282%2Ax-8%29 Group like terms

x%5E2%28x-4%29%2B2%28x-4%29 Factor out x%5E2 out of the first group and 2 out of the second group

%28x%5E2%2B2%29%28x-4%29 Combine like terms