Polynomials encompass a large variety of different functions. Polynomials can have any number of terms from one to infinity. In order to be a polynomial, the function can only contain nonnegative exponents on the variable terms.

This section includes videos on how to perform operations like addition, subtraction, multiplication, and division with polynomial functions. Adding and subtracting just involve combining like terms. There are different types of multiplying polynomials, some easier than others. For dividing, I will include techniques like synthetic and long division.

Synthetic Division with Remainder

Synthetic Division No Remainder

Synthetic Division - Divisor Has Leading Coeff not 1

Long Division with Remainder

Long Division No Remainder

Zeros of Polynomial Functions

The zeros of a polynomial function is where the graph of the function crosses the x-axis. They are known as zeros, x-intercepts, or solutions. In some videos, the zeros will be given, and it will ask to find the indicated polynomial. In some videos, I will show you how to find the zeros, state the multiplicity, and decide whether it touches or crosses the axis at that point.

Write a Polynomial with the Given Zeros and Multiplicity