SOLUTION: Factor the four term polynomial by grouping 1.) x^3+3x^2+9x+27 2.) 3x+9+xy+3y

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the four term polynomial by grouping 1.) x^3+3x^2+9x+27 2.) 3x+9+xy+3y      Log On


   

Question 502861: Factor the four term polynomial by grouping
1.) x^3+3x^2+9x+27
2.) 3x+9+xy+3y
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started.

x%5E3%2B3x%5E2%2B9x%2B27 Start with the given expression


%28x%5E3%2B3x%5E2%29%2B%289x%2B27%29 Group the terms in two pairs


x%5E2%28x%2B3%29%2B9%28x%2B3%29 Factor out the GCF x%5E2 out of the first group. Factor out the GCF 9 out of the second group


%28x%5E2%2B9%29%28x%2B3%29 Since we have the common term x%2B3, we can combine like terms


So x%5E3%2B3x%5E2%2B9x%2B27 factors to %28x%5E2%2B9%29%28x%2B3%29


In other words, x%5E3%2B3x%5E2%2B9x%2B27=%28x%5E2%2B9%29%28x%2B3%29