1. Algebra II with Trigonometry Ms. Lee
Polynomial Functions
Algebra II with Trigonometry
Ms. Lee

2. Essential Question Essential Vocabulary What is a polynomial?
How do we describe its end behavior?
How do we add/subtract polynomials?
Essential Vocabulary
Polynomial
Degree
End Behavior
Leading Coefficient

3. Essential Notes
Polynomial: One term or the sum/difference of two or more terms.
To be a polynomial:
Variable Bases
Whole number exponents
Real number coefficients

4. The degree of a polynomial is the same as the largest exponent
The degree of a polynomial is the same as the largest exponent. We write polynomials in standard form which means write exponents in descending order from left to right. When in standard form, the leading coefficient is the number in the front.

5. Classifying Polynomials
Degree
Quintic Number of Terms
Constant
Monomial
Linear
Binomial
Quadratic
Trinomial
Cubic
Poly w/ # terms
Quartic

6. End Behavior
Describes the ends of the graph as x approaches ±∞ Even Function: highest exponent is even # LC: + 𝒙→+∞, 𝒚→+∞ 𝒙→−∞, 𝒚→+∞ LC: − 𝒙→+∞, 𝒚→−∞ 𝒙→−∞, 𝒚→−∞

7. LC: + 𝒙→+∞, 𝒚→+∞ 𝒙→−∞, 𝒚→−∞ LC: − 𝒙→+∞, 𝒚→−∞ 𝒙→−∞, 𝒚→+∞
Odd Function: highest exponent is odd #
LC: +
𝒙→+∞, 𝒚→+∞
𝒙→−∞, 𝒚→−∞
LC: −
𝒙→+∞, 𝒚→−∞
𝒙→−∞, 𝒚→+∞
x and y same
x and y opposite

8. Homework 6.1:
Pages , 24-27, even, 54 Pages , 59