SOLUTION: Factor the expression. x^3 + 6x^2 + 5x +30

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Factor the expression. x^3 + 6x^2 + 5x +30      Log On


   

Question 183020: Factor the expression.
x^3 + 6x^2 + 5x +30
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E3%2B6x%5E2%2B5x%2B30 Start with the given expression


%28x%5E3%2B6x%5E2%29%2B%285x%2B30%29 Group like terms


x%5E2%28x%2B6%29%2B5%28x%2B6%29 Factor out the GCF x%5E2 out of the first group. Factor out the GCF 5 out of the second group


%28x%5E2%2B5%29%28x%2B6%29 Since we have the common term x%2B6, we can combine like terms


So x%5E3%2B6x%5E2%2B5x%2B30 factors to %28x%5E2%2B5%29%28x%2B6%29