### 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:

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:

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:

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:

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:

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:

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