Polynomials and Polynomial Functions

Dive into a comprehensive 2.5-hour tutorial on polynomials and polynomial functions. Learn to classify and name polynomial functions, analyze turning points and end behavior, and understand multiple zeros and multiplicity. Master essential operations including adding, subtracting, and multiplying polynomials, with a focus on monomials, binomials, and trinomials. Explore linear factoring, zeros, long division, and the Remainder Theorem. Gain proficiency in synthetic division and root theorems of polynomial functions. Develop the skills to determine if a given expression is a factor of a polynomial, enhancing your overall understanding of polynomial mathematics.

Syllabus

Polynomials - Classifying (Naming) Polynomial Functions.
Polynomials - Turning Points and End Behavior.
Polynomials - Multiple Zeros (Multiplicity).
Polynomials - Adding and Subtracting Polynomials.
Polynomials - Multiplying a Monomial and a Polynomial.
Polynomials - Multiplying Binomials and Trinomials.
Polynomials - Linear Factoring and Zeros.
Polynomials - Long Division.
Polynomials - Remainder Theorem.
Polynomials - Synthetic Division.
Polynomials - Is it a Factor of the Polynomial?.
Polynomials - Root Theorems of Polynomial Functions.