In this lesson, we will use the above features in order to analyze and sketch graphs of polynomials. We will then use the sketch to find the polynomial's positive and negative intervals.

In this unit, we will use everything that we know about polynomials in order to analyze their graphical behavior. Specifically, we will find polynomials' zeros (i.e., x-intercepts) and analyze how they …

Graph a polynomial function with transformations by identifying the shifts, dilations and reflections. Created by Sal Khan.

Let's look at the graph of a function that has the same zeros, but different multiplicities. For example, consider g (x) = (x 1) 2 (x 4) . Notice that for this function 1 is now a double zero, while 4 is a single …

This topic covers: - Adding, subtracting, and multiplying polynomial expressions - Factoring polynomial expressions as the product of linear factors - Dividing polynomial expressions - Proving polynomials …

Understanding the zeros, positive and negative intervals, and end behavior of a polynomial can help us understand the shape of the graph and make predictions about the system it models.

Use the real 0's of the polynomial function y equal to x to the third plus 3x squared plus x plus 3 to determine which of the following could be its graph. So there's several ways of trying to approach it.

Learn what the end behavior of a polynomial is, and how we can find it from the polynomial's equation. In this lesson, you will learn what the "end behavior" of a polynomial is and how to analyze it from a …

Solve challenging problems that tackle the relationship between the features of a polynomial and its graph.

Analyze polynomial functions to determine how they behave as the input variable increases to positive infinity or decreases to negative infinity.