MAT 201 Study Guide - Kleene Algebra, Critical Role, The Roots
Document Summary
In this lecture, we"ll explore polynomials and delve into the concept of functions of higher degree. Polynomials are functions that involve variables raised to powers, and they play a critical role in mathematics and science. By understanding polynomials, you"ll be able to solve a wide range of problems and gain a deeper understanding of calculus. Basic operations on polynomials, including addition, subtraction, multiplication, and division. Roots of polynomials, including real and complex roots. Graphing polynomials, including finding x and y-intercepts, and end behavior. Fundamental theorem of algebra and its applications. Polynomial: a polynomial is a function that involves variables raised to powers. Degree: the degree of a polynomial is the highest power of its variable. Basic operations: adding, subtracting, multiplying, and dividing polynomials follows the same rules as regular algebra. Roots: the roots of a polynomial are the values of the variable that make the polynomial equal to zero.