Question

How many solutions over the complex number system does this polynomial have
3x^6-x^3-4x^2+3x+52=0

Answer 1

For this case we have the following polynomial.
 We note that the polynomial graph cuts only the vertical axis at one point.
 The graph has no other cut points on the x axis
 Therefore, the polynomial has:
 6 complex solutions
 0 real solution
 Answer:
 6 complex solutions
 See attached image

Answer 2

Answer:

6 complex solutions

Step-by-step explanation: