This college algebra and precalculus video tutorial explains how to use synthetic division to divide polynomials, evaluate functions using the remainder theorem, factoring polynomials, and finding zeros or roots. This video contains plenty of examples and practice problems.

Here is a list of topics:

1. Synthetic Division of Polynomials vs Long Division

2. Synthetic Division of Quartic Polynomials - Examples

3. Synthetic Division and Remainder Theorem

4. Evaluating Functions Using Remainder Theorem - Finding the Function Value

5. Using Synthetic Division to find the Quotient and Remainder

6. Factoring Polynomials Using Synthetic Division

7. Factoring by Grouping

8. Factoring Trinomials When Leading Coefficient is 1

9. Factoring Trinomials When Leading Coefficient is not 1

10. Factoring Binomials Using the Difference of Squares Method

11. Synthetic Division - To Find Zeros and Roots of Functions

12. Real Solutions vs Imaginary Solutions

13. Complex Numbers

14. Sum of Squares - Imaginary Numbers - Complex Numbers

15. Synthetic Division Using Fractions

16. Synthetic Division - Missing Coefficients - Zero X^2

17. Finding the Solution to Quadratic Expressions that can be factored Using the Quadratic Formula

18. Synthetic Division - Factoring Polynomials with Solutions Containing Square Roots and Imaginary Numbers

19. Finding the possible zeros of a polynomial function using the constant term and leading coefficient.

20. Synthetic Division of Algebraic Expressions

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