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 …

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, …

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 …

Let's see if we can use everything we know about differentiation and concativity, and maximum and minimum points, and inflection points, to actually graph a function without using a …

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

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

Multiplicity is just the degree (exponent) of each factor, or the amount of times a factor appears. If the multiplicity is even, the graph will “bounce” off the x-axis where that factor is zero. And if …

Knowing the sign of a polynomial function between two zeros can help us fill in some of the gaps. In this article, we'll learn how to determine the intervals over which a polynomial is positive or …

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