SOLUTION: Factor the GCF 2x^3y+14x^2y-18xy

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Question 189974: Factor the GCF
2x^3y+14x^2y-18xy
Answer by cutepiscean5(19) About Me  (Show Source):
You can put this solution on YOUR website!
we have the polynomial as:
+2x%5E3y%2B14x%5E2y-18xy+
Now the GCF here would be the factors that are common to all the terms.
from the first term has the following factors:
+%282x%5E3%29%2Ay+=+highlight%282%29%2Ahighlight%28x%29%2Ax%2Ax%2Ahighlight%28y%29+
from the second term has the following factors:
+%2814x%5E2%29%2Ay+=+highlight%282%29%2A7%2Ahighlight%28x%29%2Ax%2Ahighlight%28y%29+
from the third term has the following factors:
+-18x%2Ay++=++%28-1%29%2Ahighlight%282%29%2A3%2A3%2Ahighlight%28x%29%2Ahighlight%28y%29+
The common factors to all the three terms are highlighed and shown.
so, the GCF would be:
+highlight%282%2Ax%2Ay%29+
Hope this helps.