SOLUTION: can you show me the reverse foil of 3m^2 + 14m -5

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Question 294886: can you show me the reverse foil of
3m^2 + 14m -5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3m%5E2+%2B+14m+-5=%283m%2Ba%29%28m%2Bb%29
If you FOIL the right hand side, you get,
%283m%2Ba%29%28m%2Bb%29=3m%5E2%2B3bm%2Bam%2Bab
%283m%2Ba%29%28m%2Bb%29=3m%5E2%2B%283b%2Ba%29m%2Bab
Comparing to your equation,
3b%2Ba=14
ab=-5
Integer factors of 5 are 1 and 5.
+a=1+, +b=-5
+a=-1, +b=5
+a=5, +b=-1
+a=-5, +b=1
All of those combinations solve ab=-5
Now check using the other equation to see which one is correct.
+a=1, +b=-5
3b%2Ba=14%29%29%29%0D%0A%7B%7B%7B3%28-5%29%2B1=14
-14=14
No, next set.
.
.
.
+a=-1,+b=5
3%285%29-1=14
14=14
That's the one.
So then a=-1, b=5.
3m%5E2+%2B+14m+-5=%283m%2Ba%29%28m%2Bb%29
3m%5E2+%2B+14m+-5=%283m-1%29%28m%2B5%29