Create a polynomial of degree three or higher, in factored form, with at least one multiplicity of 2 and a multiplicity of 3.

List it out here: P(x)=( )( )( )

2. Multiply your polynomial out and write in the standard form with decreasing powers of x.

3. a. Use long division to divide your, P(x), by one of its factors. If your remainder was not 0 try it again.

b. Use synthetic division for the same problem.

4. Explain Rational Zero theorem in sentences?

5. a. How do you find all possible rational roots of a polynomial?

b. List all possible rational roots for your polynomial.

6. List the process for solving a polynomial for all roots by using the Rational Zero Theorem and Polynomial Division. In written form