Find the GFC of the terms of the polynomial.

14z^5-70z^4+10z^3

Is the answer 14? I'm not really sure. Can someone please help?

GCF*

To find the Greatest Common Factor (GCF) of the terms of a polynomial, we need to factor out the common factors from each term and determine the highest power of each common factor.

Let's factor out the common factors from the given polynomial:

14z^5 - 70z^4 + 10z^3

First, let's look for the common factor among all the terms. The common factor among the coefficients is 2. Now let's look for the common factor among the variables. The common variable factor is z^3.

Factoring out the GCF (2z^3):

2z^3(7z^2 - 35z + 5)

Now let's simplify the polynomial further.

The GCF of the terms of the polynomial is 2z^3. Therefore, the GCF is not 14, as you suggested.

I hope this helps!