Math
posted by Angie .
What do you get when you factor 2q^2+22q=60?
Is there more than one answer possible?
I got 2 answers:
1. (2q+10)(q+6)
2. (2q+12)(q+5)

Your two answers are both:
(2)(q+6)(q+5) 
on a test, if i put one of the answers i put above, would i still get it right?

You should factor out the GCF.
2q^2 + 22q = 60
2q^2 + 22q + 60 = 0
2(q^2 + 11q + 30) = 0
now divide both sides by 2
q^2 + 11q + 30 = 0
(q + 6)(q + 5) = 0
if 2 numbers multiplied together = 0 then one or both factors must be 0.
q + 6 = 0 and/or q + 5 = 0
q = 6 and/or q = 5
Plug in the 2 possible answers and see if one or both of them work. 
would i still get it right if i didn't factor out the gcf?