Determine the total number of roots of each polynomial function.

f (x) = 3x6 + 2x5 + x4 - 2x3

For this case we have the following function:

The first thing that we must observe to know the amount of roots that the function has, is the degree of the greatest exponent.

We observe that the degree of the greatest exponent is equal to 6.

Therefore, the function has 6 roots.

The roots can all be real with different multiplicities.

There may also be real roots and complex roots.

The total number of roots for the given polynomial function is 6.