Question 1
What are the roots of
including complex roots, if they exist?
Explanation: One of the roots is 
because if we plug in 1, we get 0. We can factor the polynomial as
So now we solve the roots of 
.
The root will not be real.
The roots of this polynomial are 
.
So, the roots are 
because if we plug in 1, we get 0. We can factor the polynomial as
So now we solve the roots of .
The root will not be real.
The roots of this polynomial are .
So, the roots are