Important things to remember for the test

The Discriminant
If a, b and c are integers then the discriminant, b^2-4ac of ax^2+bx+c=0 determines the number and type of solutions as follows.
If the descriminate is posivtive the square of an integer then the number of solutions is two rational solutions.
If the discriminate is positive not the square of an integer then the numer of solutions is two irrational solutions
If the descriminate is zero then the number of solutions is one rational solution.
If the discriminate is negativwe then the number of solutions is two nonreal complex solutions.