Question

The graph of f(x) = x^5 + 2x^4 - x - 2 is given. How many complex zeros does the function have?

Answer 1

According to the graph of f(x), the function has three real solutions to x= -2, x= -1 and x=1.

Then, given that the function is a 5 degree polynomial, we can conclude that the function has 2 complex zeros.