SOLUTION: USE GROUPING TO FACTOR POLYNOMIAL x^3+ax+3a+3^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: USE GROUPING TO FACTOR POLYNOMIAL x^3+ax+3a+3^2      Log On


   

Question 190354: USE GROUPING TO FACTOR POLYNOMIAL
x^3+ax+3a+3^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that the expression should be x%5E3%2Bax%2B3a%2B3x%5E2


x%5E3%2Bax%2B3a%2B3x%5E2 Start with the given expression


x%5E3%2B3x%5E2%2Bax%2B3a Rearrange the terms.


%28x%5E3%2B3x%5E2%29%2B%28ax%2B3a%29 Group like terms


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


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


So x%5E3%2Bax%2B3a%2B3x%5E2 factors to %28x%5E2%2Ba%29%28x%2B3%29