Find the complex zeros of the polynomial function.

Question

F(x)=5x^4-16x^3-22x^2+200x-39

Answer 1

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.