Final answer:
The methods to finding zeros and factors of higher degree polynomial functions include synthetic division, factoring, and using a graphing calculator.
Step-by-step explanation:
1. Synthetic Division:
- This method is used to find the zeros of a polynomial function when one zero is known. It involves dividing the polynomial by the linear factor (x - a), where 'a' is the known zero.
2. Factoring:
- This method is used to find the zeros of a polynomial function by factoring it into linear and quadratic factors.
3. Using a Graphing Calculator:
- This method involves graphing the polynomial function and finding the x-intercepts or zeros from the graph.