Polynomial Functions and Graphs

Start with polynomial features

The Polynomial Functions mind map is a useful starting point. It brings together degree, leading coefficient, end behavior and multiplicity. Follow the branches to see which terms you recognize and which you want to study again. You can then use the mind map on determining end behavior to focus on odd- and even-degree polynomials.

As you study each map, note how the degree and leading coefficient relate to the features being described. This gives you a set of terms to use when you move on to graphs.

Connect zeros and graphs

The notes Factor, Write & Graph Polynomials connect a zero of a function with a solution, a factor and an x-intercept. Read those connections alongside the flashcards on using zeros to graph polynomials. The same deck also covers minimums and maximums of a quadratic function and guidelines for graphing polynomials.

A second flashcard deck covers standard form, leading terms and leading coefficients, as well as changes to graphs. Use it to check the terms from the mind maps before returning to the notes.

Use the quiz with the maps

After studying the maps and notes, try the algebra vocabulary quiz. Use the questions to check which terms you can recognize without the resources in front of you. Then return to the relevant map or flashcards for any terms you want to review.

For another graph-focused activity, the Finding Polynomial Inequalities mind map covers graphing an inequality, solving analytically and identifying where the inequality is true.

Place the topic in the unit

Polynomial Functions and Graphs is a section of Polynomials and Factoring in Mathematics. The notes on factors and zeros provide a connection between this section and its unit. Pick a resource from the page and follow that connection as you study.