Know there is a complex number i such that i²=-1, and every complex number has the form a + bi.
Use commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
Find the conjugate of a complex number.
Solve quadratics with real coefficients that have complex solutions.
Extend polynomial identitites to the complex numbers.
Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.
Solve quadratics by
Inspection
Completing the square
Quadratic Formula
Factoring
Solve rational and radical equations in one variable, and give examples how extraneous solutions may arise.