This chapter will

*WARNING*This chapter will

__not__be split into two parts like previous chapters.

3.1 Graphing Polynomial Functions

__Chapter 3 Vocabulary__3.1 Graphing Polynomial Functions

- Essential Understanding:
- A polynomial function is a function whose rule is either a monomial or a sum of monomials. The key features of the graph of a polynomial function - such as its end behavior, intercepts, and turning points - can be used to sketch a graph of the function.

__Completed Class Notes__- Extra Notes:
__MathBitsNotebook - Graphing Polynomial Functions__

**3.2 Adding, Subtracting, and Multiplying Polynomials**

- Essential Understanding:
- Just as with real numbers, the properties of operations can be used to add, subtract, and multiply polynomial. Polynomial functions can be used to represent and compare real-world situations.

__Completed Class Notes____Practice Worksheet__(__Answer Key__)

**3.3 Binomial Theorem with Pascal's Triangle**

- Essential Understanding:
- The Binomial Theorem is a helpful tool for efficiently rewriting expressions and describing mathematical relationships.

- Day 1: Binomial Expansion with Pascal's Triangle -
__Completed Class Notes____Practice Answer Key__- Interesting video:
__TED-Ed: The mathematical secrets of Pascal's Triangle__

- Day 2: Difference of Squares -
__Completed Class Notes__- Extra Notes/Practice:
__Mesa Community College - Factoring a Difference of Squares__

- Extra Notes/Practice:

**Review for Quiz #5 (3.1-3.3)**(

__Answer Key__)

- Correction:
- #5)
**4x^3**+ x - 10 (thanks, Ethan!)

- #5)

**3.4 Dividing Polynomials**

- Essential Understanding:
- Polynomial expressions can be divided by linear factors using long division. The Remainder Theorem is used to determine the remainder of a division problem.

- Day 1: Long Division of Polynomials
__Completed Class Notes____Practice Answer Key__- Videos:
__Example #1__,__Example #2__,__Example #3__ - Extra Notes/Practice:
__Math Is Fun - Polynomial Long Division__

- Day 2: Using Long Division to Factor Completely

**3.5 Zeros of Polynomial Functions**

- Essential Understanding:
- The zeros of a polynomial function can be determined using factoring. The zeros of a function can be used to sketch its graph.

- Day 1: Zeros of Polynomial Functions
__Completed Class Notes____Practice Problems__(__Answer Key__)- Extra Notes/Practice:
__Khan Academy - Graphs of polynomials__ - Extra video:
__Youtube - Khan Academy: Zeros of polynomials__ - Extra video:
__Youtube - Khan Academy: Multiplicity of zeros of polynomials__

- Day 2: Using Long Division to Factor Completely
__Completed Class Notes__- Videos from class with sub:
__Video #1 (Ex. 1 and 2)__,__Video #2 (Ex. 3)__

- Videos from class with sub:
__Practice Answer Key__

__(__

**Review for Chapter 3 Test**__Answer Key__)

- Please make sure that you are using
when describing end behavior. That is the expectation in the class, whether it's expressly written on your papers or not.**limit notation** - Corrections:
- #6 :
*x*-intercept is NOT at -10, it's at -10/3 --> which changes the graph (Thanks, Ryan S.!!!) - #14: (3+2y)(3-2y)(9+4y^2) -- Thanks, Maddie!
- #28: -40x^2 + ... (Thanks, Aishi!!!)

- #6 :