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

Algebra ->  Polynomials-and-rational-expressions -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
2x(3x-5) -7(3x-5)
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Right.
You have two terms and both terms have 3x-5 as a factor
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So you "factor out" the common factor and get:
(3x-5)(2x-7)
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Cheers,
Stan H.
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Anything in parentheses is a factor.
In simplified terms you have
a%2Ab%2A%28c%29+-+d%2A%28c%29
No matter what c represents, it is a factor,
and you can factor it out
%28c%29%2A%28a%2Ab+-+d%29
If
a+=+2
b=+x
c+=+3x+-+5
d+=+7
then I get
%283x-5%29%2A%282x+-+7%29