Roots of 3rd and 4th Degree Polynomials

Completely factor each problem by following these steps:

1. Use Rational Roots Theorem to find potential rational roots.

   Possible roots = , where p represents factors of the constant term and
   q represents factors of the leading coefficient.

2. Use synthetic division, or long division, to find an actual root.
3. Repeat step 2 until the polynomial is of degree 2.
4. Factor the remaining quadratic polynomial.
5. List all factors for “completely factored form”.