Real and complex solutions question?

Question

I'm having trouble finding all the real and complex solutions to the equation: x^3 - 4x^2 - 2x + 20 = 0

 

Help is greatly appreciated!

Answer 1

The Rational Root Theorem states that any rational root must be a factor of 20.

Trying several, -2 is a root leaving the depressed polynomial x² - 6x + 10.

Use the Quadratic Formula to find the two complex roots.