SOLUTION: Factor each polynomial completely. To begin, explain which method should be applied as the first step, given the guidelines of this section. Then continue the excercise and factor

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor each polynomial completely. To begin, explain which method should be applied as the first step, given the guidelines of this section. Then continue the excercise and factor       Log On


   

Question 117378: Factor each polynomial completely. To begin, explain which method should be applied as the first step, given the guidelines of this section. Then continue the excercise and factor each polynomial correctly.

2p-6q+pq-3q^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2p-6q%2Bpq-3q%5E2 Start with the given expression

%282p-6q%29%2B%28pq-3q%5E2%29 Group like terms


2%28p-3q%29%2Bq%28p-3q%29 Factor out the GCF 2 out of the first group. Factor out the GCF q out of the second group


%282%2Bq%29%28p-3q%29 Since we have the common term p-3q, we can combine like terms

So 2p-6q%2Bpq-3q%5E2 factors to %282%2Bq%29%28p-3q%29