SOLUTION: factor completely. If a polynomial is prime state this. x^4+4x^3-2x-8

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: factor completely. If a polynomial is prime state this. x^4+4x^3-2x-8      Log On


   

Question 207208This question is from textbook
: factor completely. If a polynomial is prime state this. x^4+4x^3-2x-8 This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E4%2B4x%5E3-2x-8 Start with the given expression


%28x%5E4%2B4x%5E3%29%2B%28-2x-8%29 Group like terms


x%5E3%28x%2B4%29-2%28x%2B4%29 Factor out the GCF x%5E3 out of the first group. Factor out the GCF -2 out of the second group


%28x%5E3-2%29%28x%2B4%29 Since we have the common term x%2B4, we can combine like terms


So x%5E4%2B4x%5E3-2x-8 factors to %28x%5E3-2%29%28x%2B4%29