Quadratic Equations


After reviewing how to multiply and factor polynomials, this chapter presents four methods of solving quadratic equations. Complex numbers are introduced, and using the discriminant and solving quadratic inequalities are also covered.

What you can expect to learn

After completing these activities you should be able to:

  1. Multiply polynomials.
  2. Factor quadratic polynomials.
  3. State and use the Zero Product Property.
  4. Solve quadratic equations by factoring.
  5. Solve quadratic equations by taking roots.
  6. Graph complex numbers and find their absolute value.
  7. Add, subtract, and multiply complex numbers.
  8. Solve quadratic equations by completing the square.
  9. Derive and use the quadratic formula.
  10. Solve problems involving quadratic equations.
  11. Evaluate the discriminant to classify the solutions to a quadratic equation.
  12. Solve quadratic inequalities.
Activity List