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Polynomial
Functions
Algebra II with Trigonometry
Ms. Lee
Essential Question
• 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
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
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.
Classifying Polynomials
Degree
• Constant
• Linear
• Quadratic
• Cubic
• Quartic
• Quintic
Number of Terms
•
•
•
•
Monomial
Binomial
Trinomial
Poly w/ # terms
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 → −∞
Odd Function: highest exponent is odd #
LC: +
𝒙 → +∞, 𝒚 → +∞
𝒙 → −∞, 𝒚 → −∞
LC: −
𝒙 → +∞, 𝒚 → −∞
𝒙 → −∞, 𝒚 → +∞
x and y same
x and y opposite
Homework 6.1:
Pages 99-100
3-8, 24-27, 28-36 even, 54
Pages107-109 10-12, 59