Weierstrass factorization theorem

How to determine if a factor is a factor of a polynomial using factor theorem

👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear binomial of form x - a, the remainder of the division is

From playlist Remainder and Factor Theorem

What is the remainder theorem for polynomials

👉 Learn about the remainder theorem and the factor theorem. The remainder theorem states that when a polynomial is divided by a linear expression of the form (x - k), the remainder from the division is equivalent to f(k). Similarly, when a polynomial is divided by a linear expression of th

From playlist Remainder and Factor Theorem | Learn About

How does the remainder theorem work with polynomials

👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear binomial of form x - a, the remainder of the division is

From playlist Remainder and Factor Theorem

Determine if you have a factor of a polynomial using the factor theorem

👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear binomial of form x - a, the remainder of the division is

From playlist Remainder and Factor Theorem

What is the factor Theorem

👉 Learn about the remainder theorem and the factor theorem. The remainder theorem states that when a polynomial is divided by a linear expression of the form (x - k), the remainder from the division is equivalent to f(k). Similarly, when a polynomial is divided by a linear expression of th

From playlist Remainder and Factor Theorem | Learn About

Spectral Zeta Functions

For the latest information, please visit: http://www.wolfram.com Speaker: Paul Abbott When the eigenvalues of an operator A can be computed and form a discrete set, the spectral zeta function of A reduces to a sum over eigenvalues, when the sum exists. Belloni and Robinett used the “quan

From playlist Wolfram Technology Conference 2014

Using the remainder theorem and checking your answer with synthetic division

👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear binomial of form x - a, the remainder of the division is

From playlist Remainder and Factor Theorem

Using the remainder theorem to confirm if you have a zero or not

👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear binomial of form x - a, the remainder of the division is

From playlist Remainder and Factor Theorem

What is the Remainder Theorem

👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear binomial of form x - a, the remainder of the division is

From playlist Remainder and Factor Theorem

How to use the remainder theorem for polynomials

👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear binomial of form x - a, the remainder of the division is

From playlist Remainder and Factor Theorem

Stephanie Chan, Integral points in families of elliptic curves

VaNTAGe Seminar, June 28, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in this talk: Hindry-Silverman: https://eudml.org/doc/143604 Alpoge: https://arxiv.org/abs/1412.1047 Bhargava-Shankar: https://arxiv.org/abs/1312.7859 Brumer-McGuiness: https://www.ams.org/journal

From playlist Arithmetic Statistics II

Analysis 1 - Convergent Subsequences: Oxford Mathematics 1st Year Student Lecture

This is the third lecture we're making available from Vicky Neale's Analysis 1 course for First Year Oxford Mathematics Students. Vicky writes: Does every sequence have a convergent subsequence? Definitely no, for example 1, 2, 3, 4, 5, 6, ... has no convergent subsequence. Does every b

From playlist Oxford Mathematics 1st Year Student Lectures

Integral of 1/(2+tanx)

Video on the Harmonic Addition Theorem: https://youtu.be/mDzB8UeH2M4 Trig integrals always come with sneaky tricks. This one is no exception! Weierstrass substitution: http://mathworld.wolfram.com/WeierstrassSubstitution.html New math videos every Wednesday. Subscribe to make sure you s

From playlist Integrals

Infinite products & the Weierstrass factorization theorem

In this video we're going to explain the Weierstrass factorization theorem, giving rise to infinite product representations of functions. Classical examples are that of the Gamma function or the sine function. https://en.wikipedia.org/wiki/Weierstrass_factorization_theorem https://en.wiki

From playlist Programming

Foundations of Quantum Mechanics: Completeness

Foundations of Quantum Mechanics: Completeness This lecture is a long and complex proof that every finite vector space is complete. The purpose is to demonstrate some of the methods of real and functional analysis as well as to emphasize the significance of a vector space being finite-dim

From playlist Mathematical Foundations of Quantum Mechanics

Everett Howe, Deducing information about a curve over a finite field from its Weil polynomial

VaNTAGe Seminar, March 1, 2022 License CC-BY-NC-SA Links to some of the papers and websites mentioned in this talk are listed below Howe 2021: https://arxiv.org/abs/2110.04221 Tate: https://link.springer.com/chapter/10.1007/BFb0058807 Howe 1995: https://www.ams.org/journals/tran/1995-

From playlist Curves and abelian varieties over finite fields

Minimal Discriminants and Minimal Weiestrass Forms For Elliptic Curves

This goes over the basic invariants I'm going to need for Elliptic curves for Szpiro's Conjecture.

From playlist ABC Conjecture Introduction

Short Proof of Bolzano-Weierstrass Theorem for Sequences | Real Analysis

Every bounded sequence has a convergent subsequence. This is the Bolzano-Weierstrass theorem for sequences, and we prove it in today's real analysis video lesson. We'll use two previous results that make this proof short and easy. First is the monotone subsequence theorem, stating that eve

From playlist Real Analysis

An Elliptic Curve Package for Mathematica

For the latest information, please visit: http://www.wolfram.com Speaker: John McGee Wolfram developers and colleagues discussed the latest in innovative technologies for cloud computing, interactive deployment, mobile devices, and more.

From playlist Wolfram Technology Conference 2016

How to use factor theorem to determine if a binomial is factor of polynomial

👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear binomial of form x - a, the remainder of the division is

From playlist Remainder and Factor Theorem