Using the factor throrem and synthetic division is a way to factor higher degree polynomials. Once a factor is identified, synthetic division is used to break down the polyomial into 2 factors, at which point one of the factors can be further explored using factor theorem and synthetic division.
See some examples of this process in today's notes:
- 12.3.3b Notes: Factoring Polynomials
- p133 #5, 8, 11, 13, C2 C3
After today you should be able to:
- Identify at least one factor of a polynomial using the integral zero theorem and the factor theorem
- determine the other factor by long division or synthetic division
- repeat the process until you have no more identifiable factors