SOLUTION: Factor the polynomial completely. To begin, state which method should be applied as the first step (e.g. GCF, grouping, difference of two squares, etc), given the guidelines of th

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor the polynomial completely. To begin, state which method should be applied as the first step (e.g. GCF, grouping, difference of two squares, etc), given the guidelines of th      Log On


   

Question 63900: Factor the polynomial completely. To begin, state which method should be applied as the first step (e.g. GCF, grouping, difference of two squares, etc), given the guidelines of this section. Then continue the exercise and factor the polynomial:
2p – 6q + pq – 3q^2
Answer by tanimachatterjee(60) About Me  (Show Source):
You can put this solution on YOUR website!
2p – 6q + pq – 3q^2
=(2p – 6q) + (pq – 3q^2)[grouping]
= 2(p-3q) + q(p-3q)
= (p-3q)(2+q)