Unit 7-Polynomials and Rationals
Khan Academy:
- Intro to Polynomials
- Adding and Subtracting Polynomials
- Multiplying Monomials by Polynomials
- Multiplying Binomials by Polynomials
- Special Products of Polynomials
- Factoring Monomials
- Greatest Common Factor
- Taking Common Factors
- Factoring Higher Degree Polynomials
- Factoring Using Structure
- Dividing Polynomials by x
- Dividing Quadratics by Linear Factors
- Dividing Polynomials by Linear Factors
- Polynomial Remainder Theorem
- Zeros of Polynomials
- Canceling Common Factors
- End Behavior of Rational Functions
- Discontinuities of Rational Functions
- Graphs of Rational Functions
- Modeling with Rational Functions
- Multiplying and Dividing Rational Expressions
- Adding and Subtracting Rational Expressions Intro
- Adding and Subtracting Rational Expressions Factored
- Adding and Subtracting Rational Expressions Not Factored
- Rational Equations
Go Further:
CK-12:
- Zero Product Property
- The Fundamental Theorem of Algebra for Quadratics
- Multiplying Polynomials
- Sum and Difference of Cubes
- Polynomial Challenge 2
- Dividing Polynomials
- Remainder Theorem
- Fundamental Theorem of Algebra
- Multiplying Rational Expressions
- Dividing Rational Expressions
- Adding and Subtracting Rational Expressions
- Solving Rational Equations
- Simple Rational Models
- Polynomial Challenge 3
Go Further:
Brilliant:
- Factoring and Beyond
- Polynomial Arithmetic
- Playing with Factored Form
- Factoring Quadratic Polynomials
- More Factoring
- The Quadratic Formula
- Polynomial Long Division
- Polynomial Problem Solving
- Direct and Inverse Variation
- Direct and Inverse Variation with Powers
- Asymptotic Behavior Part 1
- Asymptotic Behavior Part 2
- Problem Solving
Partial Fractions Part 2:
Special Products and Factoring:
Sum and Difference of Cubes/Grouping:
Polynomial Long Division:
Remainder Theorem: Dividing a Polynomial by a Linear Expression to Find the Remainder
Factor Theorem: Determining if a Linear Expression is a Factor of a Polynomial
Factor Theorem: Determining if a Given Number is a Root(X-Int) of a Polynomial
Factor Theorem: Factoring a Polynomial Completely and Finding All Zeroes Given One of the Factors of the Polynomial
Factor Theorem: Factoring a Polynomial Completely Given One of its Roots
Synthetic Division: Evaluating a Function Using Synthetic Division
Remainder and Factor Theorem: Dividing a Polynomial of High Degree by a Linear Expression Using Synthetic Division
Rational Root Theorem: Listing all possible rational zeroes
Rational Root Theorem: Find ALL Rational Zeroes of a Polynomial
Solution to #13 on the Polynomial Long Division Kuta Wksht:
Products and Quotients of Rationals:
Sums and Differences of Rationals Example 1:
Sums and Differences of Rationals Example 2 Part 1:
Sums and Differences of Rationals Example 2 Part 2:
Complex Fractions Easier Example:
Complex Fractions Harder Example:
Direct and Inverse Variation:
Explaining the Shape of Rational Functions Graphs:
Explaining Vertical Asymptotes:
Explaining Horizontal and Slant Asymptotes:
Explaining Removable Discontinuities(Holes):
Example with Two Vertical Asymptotes: