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

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


   

Question 75747: Factor each polynomial completely. To begin, state which method should be applied as the first step, given the guidelines of this section. Then continue the exercise and factor each polynomial completely.
2p -6q + pq – 3q^2
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
For the first step ... I would use the Commutative property to re-order the terms from ...
+2p+-6q+%2B+pq+%96+3q%5E2+
to
+2p+%2B+pq+-6q+%96+3q%5E2+
Just by switching it we can factor the first two terms and then the last two.
+p%282%2Bq%29-3q%282%2Bq%29+
since both terms now have (2+q) as a factor, we will factor them out
+%282%2Bq%29%28p-3q%29+
Done.