Determine the numbers of zeros of the polynomial function

g (x) = x^4-x^5

___ zero (s)

Zeros occur when a x value is plugged into the equation and results 0 g value.

Factor out x^4 for find zeros:

g (x) = x^4 (1-x)

From this, we can see that if x = 0 or 1, it would cause g to result in 0.

So the zeros are 0 and 1.