Polynomial Functions Courses and Certifications

Math with Professor V

AP Precalculus Unit 1 - Polynomial and Rational Functions

Master polynomial and rational functions with step-by-step lessons covering factoring, zeros, end behavior, asymptotes, and graphing techniques for AP Precalculus success.

• YouTube
• 10 hours 49 minutes
• Self-Paced
• Free Video

Professor Leonard

Introduction to Polynomial Functions

1 rating

Learn what polynomial functions are, how they are organized, and how to identify their important features.

• YouTube
• 35 minutes
• Self-Paced
• Free Video

Professor Leonard

How to Sketch Polynomial Functions - Precalculus - College Algebra

Learn to sketch polynomial graphs using intercepts, multiplicity, y-intercepts, and end behavior.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Eddie Woo

Graphing Techniques

Master essential graphing skills from linear functions to complex polynomials, including transformations, inequalities, and advanced curve sketching techniques.

• YouTube
• 10 hours 35 minutes
• Self-Paced
• Free Video

Professor Leonard

Creating Polynomials from Complex Solutions - Precalculus - College Algebra

Create polynomial functions from complex solutions by pairing conjugate roots, building factors, and expanding them into an irreducible quadratic.

• YouTube
• 40 minutes
• Self-Paced
• Free Video

Professor Leonard

How to Use the Rational Zeros Theorem - Precalculus - College Algebra

Learn how the Rational Zeros Theorem identifies possible rational zeros of polynomial functions.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Professor Leonard

Descartes Rule of Signs - Precalculus - College Algebra

Learn how Descartes’ Rule of Signs determines the possible positive and negative x-intercepts of a polynomial.

• YouTube
• 31 minutes
• Self-Paced
• Free Video

Professor Leonard

Multiplicity and End Behavior of Polynomials - Precalculus - College Algebra

Explains how zero multiplicity shapes polynomial graphs and how the leading term determines end behavior.

• YouTube
• 38 minutes
• Self-Paced
• Free Video

Professor Leonard

Power Functions - Precalculus - College Algebra

Explore power functions and use them to determine the end behavior of polynomials.

• YouTube
• 32 minutes
• Self-Paced
• Free Video

Professor Leonard

Creating Polynomials from Real Zeros - Precalculus - College Algebra

Learn how real zeros and x-intercepts become factors for constructing polynomial functions with the Zero Product Property.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Jeremy Klassen

The Remainder Theorem - Lesson 5.1.2

Master the Remainder Theorem and its applications in polynomial division through step-by-step explanations and practical examples.

• YouTube
• 16 minutes
• Self-Paced
• Free Video

Math with Professor V

Finding the Real Zeros of a Polynomial Function - Algebra Review for Calculus

Master techniques for finding real zeros of polynomial functions using rational zeros theorem and synthetic division in this algebra-focused mathematical exploration.

• YouTube
• 33 minutes
• Self-Paced
• Free Video

GreeneMath.com

Descartes' Rule of Signs - Practice Test Solutions

Master step-by-step solutions for applying Descartes' Rule of Signs through 10 practice problems, building confidence in determining polynomial root characteristics.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

Professor Leonard

Inequalities with Polynomial Functions - Precalculus - College Algebra

1 rating

Solve polynomial inequalities beyond quadratics graphically using x-intercept multiplicity and polynomial end behavior to identify solution intervals.

• YouTube
• 34 minutes
• Self-Paced
• Free Video

Career Certificate

Algebra: Elementary to Advanced

821 ratings at Coursera

Solve equations and inequalities, work with functions and their applications, and analyze polynomials and roots while building quantitative reasoning for precalculus and calculus.

• Coursera
• 4 weeks, 10 hours a week
• Self-Paced
• Paid Course
• 3 courses