The main focus of this section is different forms of factoring. Factoring simply means finding what you multiplied together to get the polynomial you started with. There are many different forms of factoring. The videos will show various scenarios that could happen.
Factoring Trinomials of the
Form x^2+bx+c
Difference of Two Squares
Perfect Square Trinomials
Operations on Polynomial Functions
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
In this section, the videos will address characteristics of polynomial functions. The videos will discuss important topics in polynomials such as end behavior, multiplicity, number of turning points, finding the function from a graph, etc
Write a Polynomial Function Given the Graph Ex. 1
Write a Polynomial Function Given the Graph Ex. 2
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