Question

How many x intercepts appear on the graph of this polynomial function?

Answer 1

B) 2 x-intercepts

Answer 2

f (x) = x ^ 4-x ^ 3 + x ^ 2-x
For this case what we can do is graph the function and see the behavior of it.
We have then that the function grows upwards (see attached image)
It has two cutting points with the x axis in:
x = 0
x = 1
Therefore, the other roots of the polynomial are imaginary.
Answer:
2 x intercepts appear on the graph of this polynomial function