Articles containing proofs | Polynomials | Elementary algebra

Vieta's formulas

In mathematics, Vieta's formulas relate the coefficients of a polynomial to sums and products of its roots. They are named after François Viète (more commonly referred to by the Latinised form of his name, "Franciscus Vieta"). (Wikipedia).

Vieta's formulas
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Scientific Notation and Their Operations

Everything you need to know about scientific notation. Like what scientific notation and standard notation is, a detailed explanation of what the typical scientific notation template looks like. You'll learn how to convert from scientific notation to standard notation and from standard not

From playlist The Math You'll Use in Chemistry

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The Notorious Question Six (cracked by Induction) - Numberphile

Featuring Zvezdelina Stankova... This video stands alone but also continues from the previous induction video at https://youtu.be/bylFzBxzQ9M - More links & stuff in full description below ↓↓↓ Induction bonus video on Numberphile2 at: https://youtu.be/P-NVuOTsetM Zvezda: https://math.ber

From playlist Zvezdelina Stankova on Numberphile

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Computing the Sums of Finite Series with Formulas

Computing the Sums of Finite Series with Formulas. Several examples where we use formulas to compute the sums. Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The formulas are as follows, with all sums starting at i = 1. sum(c) = nc sum(i) = n(n + 1)/2 sum(i^2) = n(n + 1)(2n +

From playlist Precalculus and Algebra

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Introduction to Vieta's Formula: Quadratic Equations (Sum and Product of Roots)

This video gives Vieta's Formula for quadratics and then uses the formula to determine a quadratic equation from given roots. http://mathispower4u.com

From playlist Determining Equations of Quadratic Functions

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Euler's formulas, Rodrigues' formula

In this video I proof various generalizations of Euler's formula, including Rodrigues' formula and explain their 3 dimensional readings. Here's the text used in this video: https://gist.github.com/Nikolaj-K/eaaa80861d902a0bbdd7827036c48af5

From playlist Algebra

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Epsilon delta limit (Example 3): Infinite limit at a point

This is the continuation of the epsilon-delta series! You can find Examples 1 and 2 on blackpenredpen's channel. Here I use an epsilon-delta argument to calculate an infinite limit, and at the same time I'm showing you how to calculate a right-hand-side limit. Enjoy!

From playlist Calculus

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Introduction to Vieta's Formula: Cubic Equations (Sum and Product of Roots)

This video gives Vieta's Formula for cubics and then uses the formula to determine a cubic equation from given roots. http://mathispower4u.com

From playlist Determining Equations of Quadratic Functions

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Finding the rule of the sequence using multiplication and addition

👉 Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a sequence in which each term of the sequence

From playlist Sequences

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Cauchy's Proof of the Basel Problem | Pi Squared Over Six (3blue1brown SoME1 Entry)

Cauchy's Proof of the Basel Problem | Pi Squared Over Six (3blue1brown SoME1 Entry) // If you're looking for challenging or tricky math problems, you found the right video. The Basel Problem was one of the most challenging math questions that stumped many great mathematicians, including th

From playlist Summer of Math Exposition Youtube Videos

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Vieta's Formula for Quadratics: Find the Sum of the Square of the Roots

This video explains how to use Vieta's Formula for quadratic equations to determine the value of an expression involving the roots. http://mathispower4u.com

From playlist Determining Equations of Quadratic Functions

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How to find the rule of a arithmetic sequence given two values in the sequence

👉 Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a sequence in which each term of the sequence

From playlist Sequences

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10 - Roots of polynomials

Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering

From playlist Algebra 1M

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Learn to use summation notation for an arithmetic series to find the sum

👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is

From playlist Series

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Vieta's Formula for Quadratics: Find (r1+1)(r2+1)

This video explains how to use Vieta's Formula for quadratic equations to determine the value of an expression involving the roots. http://mathispower4u.com

From playlist Determining Equations of Quadratic Functions

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Given two terms find the rule of the arithmetic sequence

👉 Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a sequence in which each term of the sequence

From playlist Sequences

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Vieta's Formula for Quadratics: Find 2/r1 + 2/r2

This video explains how to use Vieta's Formula for quadratic equations to determine the value of an expression involving the roots. http://mathispower4u.com

From playlist Determining Equations of Quadratic Functions

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Austrian Mathematical Olympiad | 2016 Final Round Q6

We present a solution to a nice problem involving sums of rational numbers from the Austrian mathematical olympiad. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.michael-penn.net Randolph College Math: http://www.randolphcollege

From playlist Math Contest Problems

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Pre-Calculus - The vocabulary of linear functions and equations

This video will introduce you to a few of the terms that are commonly used with linear functions and equations. Pay close attention to how you can tell the difference between linear and non-linear functions. For more videos please visit http://www.mysecretmathtutor.com

From playlist Pre-Calculus

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Polynomial equations (a) | Math History | NJ Wildberger

We now move to the Golden age of European mathematics: the period 1500-1900, in this course on the History of Mathematics. We discuss hurdles that the Europeans faced before this time and how they emerged, with the help of Arab algebra and translations of Greek works, to harness the Hindu-

From playlist MathHistory: A course in the History of Mathematics

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Finding the rule for our sequence using multiplication and subtraction

👉 Learn how to write the explicit formula for the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a sequence in which each term of the sequence

From playlist Sequences

Related pages

Field of fractions | Integral domain | Algebraically closed field | Fundamental theorem of algebra | Coefficient | Newton's identities | Symmetric polynomial | Polynomial | Mathematical proof | Rational number | Degree of a polynomial | Elementary symmetric polynomial | Unit (ring theory) | Field (mathematics) | Integer | Root of a function | Real number | Ring (mathematics) | Descartes' rule of signs | Gauss–Lucas theorem | Complex number | Rational root theorem | Modular arithmetic | Commutative ring