SOLUTION: Hi There is one type of factoring a polynomial that i cant get. Can you break this problem down for me and explain it? 2x(3x-5) -7(3x-5) They say the GCF is (3x-5). They gav

Question 391343: Hi
There is one type of factoring a polynomial that i cant get. Can you break this problem down for me and explain it?
2x(3x-5) -7(3x-5) They say the GCF is (3x-5). They gave this as the answer....
(3x-5)(2x-7)
Please help i dont get this
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
2x(3x-5) -7(3x-5)
---
Right.
You have two terms and both terms have 3x-5 as a factor
---
So you "factor out" the common factor and get:
(3x-5)(2x-7)
=====================
Cheers,
Stan H.
============
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Anything in parentheses is a factor.
In simplified terms you have

No matter what represents, it is a factor,
and you can factor it out

If

then I get

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