Triangles of numbers | Discrete mathematics | Factorial and binomial topics

Trinomial triangle

The trinomial triangle is a variation of Pascal's triangle. The difference between the two is that an entry in the trinomial triangle is the sum of the three (rather than the two in Pascal's triangle) entries above it: The -th entry of the -th row is denoted by . Rows are counted starting from 0. The entries of the -th row are indexed starting with from the left, and the middle entry has index 0. The symmetry of the entries of a row about the middle entry is expressed by the relationship (Wikipedia).

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Trigonometry 4 The Area of a Triangle

Various ways of using trigonometry to determine the area of a triangle.

From playlist Trigonometry

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What are the trigonometric definitions of a right triangle

👉 Learn all about the trigonometry of right triangles. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a right triangle and the side lengths of the right triangle. These

From playlist Right Triangle Trigonometry | Learn About

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What are the parts of a right triangle

👉 Learn all about the trigonometry of right triangles. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a right triangle and the side lengths of the right triangle. These

From playlist Right Triangle Trigonometry | Learn About

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Find the value of sine of my given triangle

👉 Learn all about the trigonometry of right triangles. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a right triangle and the side lengths of the right triangle. These

From playlist Right Triangle Trigonometry | Learn About

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Learn to write the three trigonometric function ratios from a triangle

👉 Learn all about the trigonometry of right triangles. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a right triangle and the side lengths of the right triangle. These

From playlist Right Triangle Trigonometry | Learn About

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What is the converse of the Pythagorean Theorem

👉 Learn all about the trigonometry of right triangles. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a right triangle and the side lengths of the right triangle. These

From playlist Right Triangle Trigonometry | Learn About

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How to determine the three trigonometric ratios for a triangle

👉 Learn all about the trigonometry of right triangles. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a right triangle and the side lengths of the right triangle. These

From playlist Right Triangle Trigonometry | Learn About

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Binomial Expansion | Polynomials | Pre-Calculus

In this lesson we explore how to expand binomials by multiplying, binomial theorem and pascals triangle. We will also learn how to determine a given term of a binomial and how to create binomials by completing the square. I make short, to-the-point online math tutorials. I struggled with

From playlist Pc - In the classroom

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Completing the Square EASY and HARD (Livestream)

In this video I show you how to complete the square using perfect square trinomials, as well as a more difficult video at the end. Since this was a livestream I answer a couple of more questions from students which I have timestamps for below. 00:00 intro 3:07 Completing the Square (EASY

From playlist Open QandA 2020

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Week 12 Open Q&A Livestream

00:00 intro 06:38 What is a Bearing 09:30 Graphing and Describing y=4sin(3(x+𝞹/3))-2 19:50 Multiplying Trinomials using Distributive Property (x^2-2x+3)(2x^2+2x+1) 22:19 Create Pascals Triangle and Expand (2x-1)^5 27:31 Solve Quadratic Equation 7x^2+10=18

From playlist Open Q&A

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2.) Polynomials Quiz #1

In this video I cover the questions over the first quiz I gave my students on our unit for polynomials. We cover graphing a polynomial, binomial expansion, finding the real rational zeros and completing the square. Bring your questions Download all my HW, Quizzes, Notes and Tests Here ht

From playlist Open Q&A

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Graphing Sine vs. Logarithm (Livestream)

In this livestream I cover a wide range of topics such as Mean Meadian Mode and Range. An overivew of graphing logarithms, how to solve right triangles, graphing the sine function , graph a logarims, solving literal equations and lastly completing the square. 00:00 intro 6:17 Mean Median

From playlist Open QandA 2020

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Introduction to number theory lecture 7. Binomial coefficients.

This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We review the definitions and basic properties of binomial coefficients. The textbook is

From playlist Introduction to number theory (Berkeley Math 115)

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How to write the three trigonometric ratios for a triangle

👉 Learn all about the trigonometry of right triangles. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a right triangle and the side lengths of the right triangle. These

From playlist Right Triangle Trigonometry | Learn About

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How to determine the hypotenuse, opposite, and adjacent legs of a triangle

👉 Learn all about the trigonometry of right triangles. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a right triangle and the side lengths of the right triangle. These

From playlist Right Triangle Trigonometry | Learn About

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Learn how to determine and factor a perfect square trinomial

👉 Learn how to factor perfect square trinomials when there is more than one variable or raised to a higher power. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expressio

From playlist How to Factor a Polynomial

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Multiply a Trinomial by a Trinomial Using a Rectangle - Math Tutorial

👉 Learn how to multiply polynomials. To multiply polynomials, we use the distributive property. The distributive property is essential for multiplying polynomials. The distributive property is the use of each term of one of the polynomials to multiply all the terms of the other polynomial.

From playlist How to Multiply a Trinomial by a Trinomial

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What are the pythagorean identities

👉 Learn all about the trigonometry of right triangles. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a right triangle and the side lengths of the right triangle. These

From playlist Right Triangle Trigonometry | Learn About

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Open Q&A week 3

Bring your questions Download all my HW, Quizzes, Notes and Tests Here https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/join 00:00 intro 11:26 Solve for x 19:15 Special Right Triangle Tips 21:43 Factoring Polynomials 32:13 Rational Equations and Inequal Tips 33:12 Exponential Equ

From playlist Open QandA 2020

Related pages

Trinomial | Fibonacci number | Polynomial expansion | Chess | Binomial coefficient | Leonhard Euler | Pascal's triangle | Generating function