After completing this section, you should be able to do the following.

  • Recognize whether two terms share a common multiple.
  • Factor a polynomial using common multiples.
  • Check whether a polynomial has been factored correctly.
  • Factor quadratic polynomials.
  • Factor a polynomial by grouping.
  • Divide two polynomials using polynomial long division.
  • Divide two polynomials using synthetic long division.
  • Factor a polynomial that has imaginary roots.