Канал: Polynomial Maths

Using Coloring to Solve Combinatorics Problems

Using Coloring to Solve Combinatorics Problems

2024 AIME II #12: An Interesting/Intuitive Solution

2024 AIME II #12: An Interesting/Intuitive Solution

Problems 21-25 of the 2023 AMC 12A Explained

Problems 21-25 of the 2023 AMC 12A Explained

The Radical Axis and Circles With No Radius

The Radical Axis and Circles With No Radius

Directed Angles - Taking the Casework Out of Geometry

Directed Angles - Taking the Casework Out of Geometry

Spiral Similarity and Miquel Points - A Basic Introduction

Spiral Similarity and Miquel Points - A Basic Introduction

Lifting the Exponent (LTE) - How You Can (Kind of) Remove Exponents

Lifting the Exponent (LTE) - How You Can (Kind of) Remove Exponents

Using Recursive Functions in Math + Example from 2015 AMC 12A #22

Using Recursive Functions in Math + Example from 2015 AMC 12A #22

A Bunch of Half Transparent Mirrors - A Math Problem

A Bunch of Half Transparent Mirrors - A Math Problem

Is it possible to derive divisibility rules for any prime number?

Is it possible to derive divisibility rules for any prime number?

Invariants and Monovariants - A Basic Introduction + Example Problems

Invariants and Monovariants - A Basic Introduction + Example Problems

What is Homothety? + Example problem

What is Homothety? + Example problem

What are Limits? - A Basic Introduction

What are Limits? - A Basic Introduction

Newton’s Sums - Finding the Sum of the Nth powers of the Roots of a Polynomial

Newton’s Sums - Finding the Sum of the Nth powers of the Roots of a Polynomial

Why Progress Bars are so Inaccurate - Basic Explanation

Why Progress Bars are so Inaccurate - Basic Explanation

The Basics of Gaussian Integers - What They are and Gaussian Primes

The Basics of Gaussian Integers - What They are and Gaussian Primes

What is the Highest Power of a Prime that Divides a Factorial?

What is the Highest Power of a Prime that Divides a Factorial?

Properties of Divisors - Number of Divisors and Sum of Divisors

Properties of Divisors - Number of Divisors and Sum of Divisors

Volume and Surface Area of a Donut? (Torus)

Volume and Surface Area of a Donut? (Torus)

Nim Part 2 - More Piles!

Nim Part 2 - More Piles!

The Mathematical Game of Nim - Part 1

The Mathematical Game of Nim - Part 1

Complex Numbers - Part 1 - Notation and The Complex Plane

Complex Numbers - Part 1 - Notation and The Complex Plane

Log Identities - Addition, Subtraction, Division

Log Identities - Addition, Subtraction, Division

Knot Theory Part 2 - More Knots!

Knot Theory Part 2 - More Knots!

AMC 8 2019 #21 Problem and Solution

AMC 8 2019 #21 Problem and Solution

AMC 8 2019 #23 Problem and Solution

AMC 8 2019 #23 Problem and Solution

2019 AMC 8 #22 Problem and Solution - Guess and Check

2019 AMC 8 #22 Problem and Solution - Guess and Check

2019 AMC 8 #25 Problem and Solution

2019 AMC 8 #25 Problem and Solution

2019 AMC 8 #24 Geometry Problem

2019 AMC 8 #24 Geometry Problem

AMC 8 2019 Preparations - Everything You Need To Know

AMC 8 2019 Preparations - Everything You Need To Know

Euler's Totient Theorem and Fermat's Little Theorem - Modular Arithmetic

Euler's Totient Theorem and Fermat's Little Theorem - Modular Arithmetic

Knot Theory - An Introduction

Knot Theory - An Introduction

What Are Polar Coordinates - A Different Way To Express Points in a Graph

What Are Polar Coordinates - A Different Way To Express Points in a Graph

Trigonometric Identities - Something Everyone Should Know

Trigonometric Identities - Something Everyone Should Know

The Basics of Trigonometry - Sine, Cosine, Tangent

The Basics of Trigonometry - Sine, Cosine, Tangent

What is the Fourth Dimension? Using a 2D to 3D Analogy

What is the Fourth Dimension? Using a 2D to 3D Analogy

How to Fold the Golden Rectangle Using a Square Remake - Part 1

How to Fold the Golden Rectangle Using a Square Remake - Part 1

Can We Fold an Equilateral Triangle From a Square? - Part 2

Can We Fold an Equilateral Triangle From a Square? - Part 2

Can We Fold an Equilateral Triangle From a Square? If so, how? - Part 1

Can We Fold an Equilateral Triangle From a Square? If so, how? - Part 1

Generating Functions - Algebra That Does Your Counting Problems

Generating Functions - Algebra That Does Your Counting Problems

Combinatorial Indentities - Something Every Mathematician Should Know

Combinatorial Indentities - Something Every Mathematician Should Know

Program Your Calculator to Check Divisibility, Factor, and Much More - No Graphing Calculator needed

Program Your Calculator to Check Divisibility, Factor, and Much More - No Graphing Calculator needed

The PIE Method - Part 2

The PIE Method - Part 2

The PIE Method - A Way to Count Quickly // Part 1

The PIE Method - A Way to Count Quickly // Part 1

2019 AIME I Problem #3 - Geometry

2019 AIME I Problem #3 - Geometry

2019 AIME I Problem #2 - Probability and Counting

2019 AIME I Problem #2 - Probability and Counting

2019 AIME I Problem #1 Solution - Writing Numbers as a Difference

2019 AIME I Problem #1 Solution - Writing Numbers as a Difference

How to Divide a Square Into 3 Equal Parts - No Measurements (Remake)

How to Divide a Square Into 3 Equal Parts - No Measurements (Remake)

How to Divide a Square Into 5 Equal Parts - No Measurements (Remake)

How to Divide a Square Into 5 Equal Parts - No Measurements (Remake)

What is the Mean Inequality Chain? - NOT A PROOF

What is the Mean Inequality Chain? - NOT A PROOF

AMC 10B 2019 #12 Problem and Solution

AMC 10B 2019 #12 Problem and Solution

AMC 10B 2019 #14 Problem and Solution

AMC 10B 2019 #14 Problem and Solution

AMC 10B 2019 #18 Problem and Solution

AMC 10B 2019 #18 Problem and Solution

Partial Fraction Decomposition - Part 2 // Special Cases

Partial Fraction Decomposition - Part 2 // Special Cases

Partial Fraction Decomposition - How? Part 1

Partial Fraction Decomposition - How? Part 1

A Logic Riddle About Diseases and Probability

A Logic Riddle About Diseases and Probability

Math Counts Tips and Tricks - Part 1

Math Counts Tips and Tricks - Part 1

How to Prove the Quadratic Formula! (and impress your friends)

How to Prove the Quadratic Formula! (and impress your friends)

Numbers in Different Bases - How do They Work?

Numbers in Different Bases - How do They Work?

What is Binary? Number Bases and How They Work

What is Binary? Number Bases and How They Work

Finding the Area of Wierd Shapes Quickly..... How?! - Pick's Theorem

Finding the Area of Wierd Shapes Quickly..... How?! - Pick's Theorem

What is Induction - A Quick Intro

What is Induction - A Quick Intro

Telescoping Sums - A Brief Introduction

Telescoping Sums - A Brief Introduction

Graphing Quadratics Using Intercept Form - The Fastest Way to Graph a Parabola

Graphing Quadratics Using Intercept Form - The Fastest Way to Graph a Parabola

Finding the Vertex of a Quadratic Without Completing the Square... How?!?!??!

Finding the Vertex of a Quadratic Without Completing the Square... How?!?!??!

AMC 8 2018 #15 Problem and Solution - Geometry Problem

AMC 8 2018 #15 Problem and Solution - Geometry Problem

AMC 8 2018 #16 Problem and Solution - Counting Problem

AMC 8 2018 #16 Problem and Solution - Counting Problem

AMC 8 2018 #17 Problem and Solution

AMC 8 2018 #17 Problem and Solution

2018 AMC 8 #18 Problem and Solution - Prime Factoring Problem

2018 AMC 8 #18 Problem and Solution - Prime Factoring Problem

AMC 8 2018 #19 Problem and Solution

AMC 8 2018 #19 Problem and Solution

AMC 8 2018 #20 Problem and Solution - Geometry and Using Problems to Your Advantage

AMC 8 2018 #20 Problem and Solution - Geometry and Using Problems to Your Advantage

AMC 8 2018 #21 Problem and Solution - Counting Problem

AMC 8 2018 #21 Problem and Solution - Counting Problem

AMC 8 2018 #22 Problem and Solution - Geometry and Similar Triangles Problem

AMC 8 2018 #22 Problem and Solution - Geometry and Similar Triangles Problem

AMC 8 2018 #23 Problem and Solution - Counting Problem

AMC 8 2018 #23 Problem and Solution - Counting Problem

AMC 8 2017 #15 Problem and Solution - Counting Problem

AMC 8 2017 #15 Problem and Solution - Counting Problem

AMC 8 2017 #16 Problem and Solution - Geometry Problem

AMC 8 2017 #16 Problem and Solution - Geometry Problem

AMC 8 2017 #17 Problem and Solution

AMC 8 2017 #17 Problem and Solution

AMC 8 2017 #18 Problem and Solution

AMC 8 2017 #18 Problem and Solution

AMC 8 2017 #19 Problem and Solution - Factoring Problem

AMC 8 2017 #19 Problem and Solution - Factoring Problem

AMC 8 2017 #20 Problem and Solution - Probability

AMC 8 2017 #20 Problem and Solution - Probability

AMC 8 2017 #21 Problem and Solution

AMC 8 2017 #21 Problem and Solution

AMC 8 2017 #22 Problem and Solution

AMC 8 2017 #22 Problem and Solution

AMC 8 2017 #24 Problem and Solution

AMC 8 2017 #24 Problem and Solution

AMC 8 2017 #25 Problem and Solution

AMC 8 2017 #25 Problem and Solution

2018 Pumac Algebra Individual Problem 1 Solution - Division A

2018 Pumac Algebra Individual Problem 1 Solution - Division A

2018 Pumac Problem 1 Geometry Individual Solution - Division A

2018 Pumac Problem 1 Geometry Individual Solution - Division A

How to Use the Slide and Divide Method on Quadratics!

How to Use the Slide and Divide Method on Quadratics!

AMC 8 2018 #24 Problem and Solution

AMC 8 2018 #24 Problem and Solution

2018 AMC 8 #25 Problem and Solution

2018 AMC 8 #25 Problem and Solution

Finding the Sum of a Geometric Series... How?!?

Finding the Sum of a Geometric Series... How?!?

Finding the Sum of an Arithmetic Series... How?!?

Finding the Sum of an Arithmetic Series... How?!?

How to Solve System of Equations Using Elimination

How to Solve System of Equations Using Elimination

How to Solve System of Equations With Substitution

How to Solve System of Equations With Substitution

Sum of Powers and Difference of Powers || Ways to Factor Polynomials Super Quickly

Sum of Powers and Difference of Powers || Ways to Factor Polynomials Super Quickly

Is There a Formula for Solving a System of Equations? || Solving for a Formula

Is There a Formula for Solving a System of Equations? || Solving for a Formula

A Math Problem Regarding Burning Strings and Time || Interesting Problems

A Math Problem Regarding Burning Strings and Time || Interesting Problems

How to Factor Polynomials Quickly in Under 30 Seconds!! || Using the Rational Root Theorem + Vietas

How to Factor Polynomials Quickly in Under 30 Seconds!! || Using the Rational Root Theorem + Vietas

How to do Polynomial Division Fast!!! || Synthetic Division and Its Uses

How to do Polynomial Division Fast!!! || Synthetic Division and Its Uses

A Geometry-Style Proof of the Pythagorean Theorem - Simple Proof

A Geometry-Style Proof of the Pythagorean Theorem - Simple Proof

Why the Square Root of Two is Irrational - Simple Proof

Why the Square Root of Two is Irrational - Simple Proof

How to Fold a Square Into n Equal Parts - No Measurements

How to Fold a Square Into n Equal Parts - No Measurements

How to Divide a Square Into 5 Equal Parts - No Measurements

How to Divide a Square Into 5 Equal Parts - No Measurements

How to Fold the Golden Rectangle From a Square - No Measurements || VERY SIMPLE

How to Fold the Golden Rectangle From a Square - No Measurements || VERY SIMPLE

Dividing by Zero?!? || Why Dividing by Zero is Undefined

Dividing by Zero?!? || Why Dividing by Zero is Undefined

How to Fold 1/3 of a Square - No Measurements

How to Fold 1/3 of a Square - No Measurements

Multiplying Two-digit Numbers by 11 Speed Hacks!!!

Multiplying Two-digit Numbers by 11 Speed Hacks!!!