Basic theory:
　　1. # of roots = highest power
　　2. All rational roots will be factors of k / factors of a in the general equation of ax^n + bx^(n-1) + ... + cx + k
　　3. Quadratic formula can solve for irrational / imaginary roots (i dont know cubic / quartic formulas)
　　4. Irrational roots and imaginaries come in pairs (quadratic formula guarantees this)
　　5. Given polynomial P(x) = ax^n + bx^(n-1) + ... + cx + k and given that q is a root, P(q) = 0