3. Polynomial and Rational Functions

Use Descartes's Rule of Signs

Zeros of Polynomial Functions

Descartes' Rule of Signs

Use descartes rule of signs to find the number of positive and negative real zeros

Rational Root Theorem

Write the equation of a polynomial using its x-intercepts

How To Find The Real & Imaginary Solutions of Polynomial Equations

Finding all the Zeros of a Polynomial - Example 2

Determine the equation of a polynomial by analyzing its graph

Pre-Calculus - Using Descartes rule of signs

Finding All Zeros of a Polynomial Equation

Ex: The Rational Root (Zero) Theorem

❖ Finding all the Zeros of a Polynomial - Example 3 ❖

Finding the Zeros of a Polynomial from Start to Finish

Solving Higher Degree Polynomials by Synthetic Division and the Rational Roots Test

Finding all the Zeros of a Polynomial - Example 1

Rational Roots Test / Theorem

Find the Equation from the Graph of a Polynomial

Finding the Equation of a Polynomial from a Graph

The Rational Zeros Theorem

Find the Zeros of a Polynomial Function with Imaginary Zeros

Solving Polynomial Equations By Factoring and Using Synthetic Division

Learn the toughest concepts covered in Precalculus with step-by-step video tutorials and practice problems by world-class tutors 

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1. Fundamental Concepts of Algebra

2. Functions and Graphs

4. Exponential and Logarithmic Functions

5. Trigonometric Functions

6. Analytic Trigonometry

7. Additional Topics in Trigonometry

8. Systems of Equations and Inequalities

9. Matrices and Determinants

10. Conic Sections and Analytic Geometry

11. Sequences, Induction, and Probability

12. Introduction to Calculus

Identify Polynomial Functions

Recognize Characteristics of Graphs of Polynomial Functions

Determine End Behavior

Use Factoring to Find Zeros of Polynomial Functions

Identify Zeros and Their Multiplicities

Use the Intermediate Value Theorem

Understand the Relationship Between Degree and Turning Points

Graph Polynomial Functions

Polynomial Functions and Their Graphs

Solve Polynomial Inequalities

Solve Rational Inequalities

 Problems Modeled by Polynomial or Rational Inequalities

Polynomial and Rational Inequalities

Add and Subtract Complex Numbers

Multiply Complex Numbers

Divide Complex Numbers

Perform Operations with Square Roots of Negative Numbers

Solve Quadratic Equations with Complex Imaginary Solutions

Complex Numbers

Find the Domains of Rational Functions

Use Arrow Notation

Identify Vertical Asymptotes

Identify Horizontal Asymptotes

Use Transformations to Graph Rational Functions

Graph Rational Functions

Identify Slant Asymptotes

Solve Applied Problems Involving Rational Functions

Rational Functions and Their Graphs

Use Long Division to Divide Polynomials

Use Synthetic Division to Divide Polynomials

Evaluate a Polynomial Using the Remainder Theorem

Use the Factor Theorem to Solve a Polynomial Equation

Dividing Polynomials, Remainder and Factor Theorems

Use Rational Zero Theorem to Find Possible Rational Zeros

Find Zeros of a Polynomial Function

Solve Polynomial Equations

Use the Linear Factorization Theorem to Find Polynomials With Given Zeros

Solve Direct Variation Problems

Solve Inverse Variation Problems

Solve Combined Variation Problems

Solve Problems Involving Joint Variation

Modeling Using Variation

Recognize Characteristics of Parabolas

Graph Parabolas

Determine a Quadratic Function's Minimum or Maximum

Problems Involving a Quadratic Function's Minimum or Maximum

Quadratic Functions

General Chemistry

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Financial Accounting

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Making Decisions Under Uncertainty

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Mistakes To Avoid When Resolving Conflict

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Secrets Of Effective Prioritization

Strategies To Build Up Your Creativity

Tools For Decision Making

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Winning Collaboration: How To Work More Effectively With Different Personalities

Writing Emails People Want To Read

Critical Thinking

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Digital Literacy

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Introduction to Python

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Data Analysis Fundamentals with Excel

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