SOLUTION: please help find the GCF of the terms of each polynomial. Factor. upward arrow means that is an exponent. 16c^2

SOLUTION: please help find the GCF of the terms of each polynomial. Factor. upward arrow means that is an exponent. 16c^2 - 4c^3 + 12c^5

Question 170860: please help find the GCF of the terms of each polynomial. Factor. upward arrow means that is an exponent.
16c^2 - 4c^3 + 12c^5
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Notice how EVERY term has the variable "c" in it. So the GCF will have "c" in it. Since the smallest exponent of "c" is 2, this tells us that the exponent of "c" in the GCF will also be 2. So the variable part of the GCF is

Now we need to find the GCF of the coefficients 16, -4, and 12. To make things simple, I'm going to make -4 positive by removing the sign (this won't change the answer).

So we need to find the GCF of 16, 4, and 12

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First, let's find the prime factorization of each term:

:

:

:

Now highlight the common terms:

:

:

:

So the common terms are 2 and 2

Now simply multiply all of the common terms together to get

So the GCF of , , and is .

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So this means that the GCF of is

Note: this means that we can factor out the GCF from to get
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