SOLUTION: please help..find the GCF of the terms of each polynomial. Factor. upward arrow means exponent 8v^6 + 2v^5 - 10v^9

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Question 170867: please help..find the GCF of the terms of each polynomial. Factor.
upward arrow means exponent
8v^6 + 2v^5 - 10v^9
Found 2 solutions by Mathtut, jim_thompson5910:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
8v%5E6%2B2v%5E5-10v%5E9
GCF is 2v%5E5......... 2v%5E5%284v%2B1-5v%5E4%29

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Take note that each term has a "v" in it. Also, since the smallest exponent for "v" is 5, this means that the variable portion of the GCF is v%5E5


Now let's find the GCF of the numbers 8, 2, and -10 (the coefficients). Since the largest number that can divide into ALL of the them is 2, this means that the coefficient of the GCF is 2.

So the GCF is 2v%5E5


Now factor out the GCF 2v%5E5 from 8v%5E6+%2B+2v%5E5+-+10v%5E9 to get 2v%5E5%284v+%2B+1+-+5v%5E4%29