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Kansas State Polytechnic

R.5 Polynomials

1: Introduction to Polynomials

This video covers:
*The formal and informal definition of polynomials
*What is meant by 'nice' mathematical operations
*Why 'ugly' operations can be over numbers but not variables
*Identifying examples that are/are not a polynomial
*What typical polynomials look like

Examples:
Polynomial Identification Examples

 


 2: Polynomial Vocabulary

This video covers:
*Review of what a polynomial is
*How to put polynomials in Descending Order
*Vocabulary words: Degree, Terms, Coefficients, Leading Term, Leading Coefficient, Constant Term

Examples:
Polynomial Vocabulary Examples

 


 3: Polynomial Classification

This video covers:
*How to name a polynomial by the 'first' and 'last' name
*How to name a polynomial given the number of terms it has: Monomial, Binomial, Trinomial, Polynomial
*How to name a polynomial given the degree: Constant, Linear, Quadratic, Cubic, Quartic, Quintic

Examples:
Polynomial Classification Examples

 


 4: Adding and Subtracting Polynomials

This video covers:
*How to identify and combine like terms
*How to combine like terms to add and subtract polynomials
*How to distribute the negative to subtract polynomials
*Reminder to put the polynomials in descending order
*How to put multiple variables in descending order

Examples:
Polynomial Addition and Subtraction Examples

 


 5: Multiplying Polynomials (Part 1) - Distributing and FOILing

This video covers:
*When to multiply polynomials by distributing
*What the acronym FOIL stands for
*When to multiply polynomials by FOILing
*Why FOILing is the best order
*Vocabulary word: Conjugate

Examples:
Polynomial Multiplication Examples

 


 6: Multiplying Polynomials (Part 2) - 

This video covers:
*How to multiply polynomials when it isn't distributing or FOILing
*How to multiply a polynomial to an expnonent
*The biggest mistake you can make in algebra simplification
*Reminder to combine like terms and put the polynomials in descending order

Examples:
Polynomial Multiplication Examples