Polynomials
Master the fundamentals of polynomials, one of the most important families of functions in all of algebra.
A First Look At Polynomials
Power Functions
Comparing Powers
The Dominance of Powers
Between -1 and 1
Level Review
Even and Odd Powers
Symmetry of Even Powers
Symmetry of Odd Powers
Level Review
Vertical Shifts
Stretches
Negative Stretches
Horizontal Shifts
Identifying Transformations
Transforming Power Functions
The Shape of Power Functions
Level Review
Evaluating Polynomials
Coefficients
Graphing Polynomials
The Constant Term
Level Review
Even Degree Polynomials
Odd Degree Polynomials
Parity of Polynomial Graphs
Small and Large Terms
Polynomial graphs far from 0
Polynomial Graphs near to 0
Leading Coefficients other than 1
Level Review
Introduction to Roots
Degree and Roots
Roots of Even Polynomials
Roots of Odd Polynomials
Root Finding
Level Review
Adding Polynomials
Subtracting Polynomials
Subtracting with Negatives
Meet Multivariable Polynomials
Add Multivariable Polynomials
Level Review
Multiplying Monomials
Scaling Polynomials
Monomial Times Polynomial
Multiplying Polynomials
Powers of Polynomials
Factoring Out Monomials
Level Review
Roots from Factored Form
Factored Form from Roots
Graphical Factoring
Roots with Multiplicity
Sign Changes at Roots
Level Review
Solving By Factoring
Quadratic Factors
Factoring with Power Sums
Differences of Nᵗʰ Powers
Factoring Biquadratic Polynomials
Level Review
Course description
In this course, learners will study the graphs of polynomials and how they relate to their algebraic properties. Beginning with a deep study of the power functions, the course builds up through transformations of power functions into an intuitive study of the graphs of polynomials. Next, learn about the roots of polynomials and how they connect to factors of the polynomials. Finally, dive into special polynomial factorization problems.
Topics covered
- Power functions
- Transformations of power functions
- Evaluating Polynomials
- Graphing Polynomials
- Roots
- Adding Polynomials
- Multiplying Polynomials
- Factors and Roots
- Factoring Polynomials