Concept

Rational root theorem

Related lectures (12)

Complex Numbers: Introduction and Operations

Introduces complex numbers and their forms, including Cartesian, polar, and exponential forms, and explains how to find the argument of a complex number.

Decimal Expansion: Division and Periodicity

Delves into decimal expansion of rational numbers through Euclidean division, emphasizing periodicity and illustrative examples.

Mathematical Notations: Recap and Rational Numbers

Covers a recap on mathematical notations and introduces rational numbers and basic algebraic operations.

Geometric Constructions: Duplication of the Cube

Explores the historical significance and geometric methods for duplicating the cube.

Trigonometric Equations: Bioche Rule

Explains the Bioche rule for solving trigonometric equations using substitutions and tests of invariance.

Algebraic Operations

Covers the basic concepts of rational numbers and algebraic operations, including addition, subtraction, multiplication, and division.

Rational Numbers Construction

Explores the construction of rational numbers, irreducible fractions, equivalence, and simplification rules.

Complex Numbers: Algebraic Structures and Applications

Covers algebraic structures, real numbers, fields, and the applications of complex numbers in science and engineering.

Equations and Inequalities on the Reals

Covers algebraic identities, linear equations, and rational inequations on the real numbers.

Selected Topics in Mathematics

Covers selected topics in mathematics for students interested in foundational concepts and challenges.

Rational Numbers: Amplification and Simplification

Covers rational numbers, amplifying and simplifying fractions, and calculating values.

Geometric Transformations: Meanings and Applications

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.