Find the complex zeros of the polynomial function.
F(x)=5x^4-16x^3-22x^2+200x-39
Not sure how to apply calculus to this.
You can use the Rational Roots Theorem to narrow down your choices. That, and a little synthetic division turns up
(5x-1)(x+3)(x^2-6x+13)
Now you can find the complex roots.