Polynomials

Polynomial evaluation

In mathematics and computer science, polynomial evaluation refers to computation of the value of a polynomial when its indeterminates are substituted for some values. In other words, evaluating the polynomial at consists of computing See also Polynomial ring ยง Polynomial evaluation For evaluating the univariate polynomial the most naive method would use multiplications to compute , use multiplications to compute and so on for a total of multiplications and additions.Using better methods, such as Horner's rule, this can be reduced to multiplications and additions. If some preprocessing is allowed, even more savings are possible. (Wikipedia).

Video thumbnail

Classify a polynomial then determining if it is a polynomial or not

๐Ÿ‘‰ Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio

From playlist Is it a polynomial or not?

Video thumbnail

Is it a polynomial with two variables

๐Ÿ‘‰ Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio

From playlist Is it a polynomial or not?

Video thumbnail

Determine if a Function is a Polynomial Function

This video explains how to determine if a function is a polynomial function. http://mathispower4u.com

From playlist Determining the Characteristics of Polynomial Functions

Video thumbnail

Determining if a equation is a polynomial or not

๐Ÿ‘‰ Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio

From playlist Is it a polynomial or not?

Video thumbnail

Learn how to identify if a function is a polynomial and identify the degree and LC

๐Ÿ‘‰ Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio

From playlist Is it a polynomial or not?

Video thumbnail

Determining if a function is a polynomial or not then determine degree and LC

๐Ÿ‘‰ Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio

From playlist Is it a polynomial or not?

Video thumbnail

How to reorder and classify a polynomial based on it's degree and number of terms

๐Ÿ‘‰ Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1

From playlist Classify Polynomials | Equations

Video thumbnail

Classifying a polynomial based on its degree and number of terms

๐Ÿ‘‰ Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1

From playlist Classify Polynomials | Equations

Video thumbnail

The Fast Fourier Transform (FFT): Most Ingenious Algorithm Ever?

In this video, we take a look at one of the most beautiful algorithms ever created: the Fast Fourier Transform (FFT). This is a tricky algorithm to understand so we take a look at it in a context that we are all familiar with: polynomial multiplication. You will see how the core ideas of t

From playlist Fourier

Video thumbnail

Using Taylor Polynomials to Approximate Functions

This video shows how to determine a Taylor Polynomial to approximate a function. http://mathispower4u.yolasite.com/

From playlist Infinite Sequences and Series

Video thumbnail

6.3 Taylor and Maclaurin Series

OpenStax Calculus Volume 2

From playlist Calculus 2

Video thumbnail

The Fast Fourier Transform Without the Fourier?

An introduction to the Fast Fourier Transform from the perspective of multiplying polynomials. Great video on the geometric intuition behind the Fourier transform: https://www.youtube.com/watch?v=spUNpyF58BY&vl=en Article on big-O notation (one of the authors might be familiar...): ht

From playlist Summer of Math Exposition Youtube Videos

Video thumbnail

FIT2.2. Simple Extensions

Field Theory: We consider the case of simple extensions, where we adjoin a single element to a given field. The cases of transcendental and algebraic arise, depending on whether the kernel of the evaluation map is zero or not. In the algebraic case, we define the minimal polynomial, show

From playlist Abstract Algebra

Video thumbnail

Geometry of tropical varieties with a view toward applications (Lecture 1) by Omid Amini

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

Video thumbnail

An awesome way to evaluate a function! More advance math students NEED to know thisโ€ฆ

How to use the remainder theorem and synthetic division to evaluate a polynomial function. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and print

From playlist GED Prep Videos

Video thumbnail

Xavier Caruso: Ore polynomials and application to coding theory

In the 1930โ€™s, in the course of developing non-commutative algebra, Ore introduced a twisted version of polynomials in which the scalars do not commute with the variable. About fifty years later, Delsarte, Roth and Gabidulin realized (independently) that Ore polynomials could be used to de

From playlist Algebraic and Complex Geometry

Video thumbnail

Parametric Linear System Solving with Error Correction

Cleveland Waddell, Evergreen State College Title: Parametric Linear System Solving with Error Correction. CUNY Symbolic-Numeric Computing Seminar, Thursday, September 26

From playlist Fall 2019 Symbolic-Numeric Computing Seminar

Video thumbnail

Classify a polynomial and determine degree and Leading coefficient

๐Ÿ‘‰ Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1

From playlist Classify Polynomials | Equations

Video thumbnail

Taylor polynomial remainder (part 1) | Series | AP Calculus BC | Khan Academy

The more terms we have in a Taylor polynomial approximation of a function, the closer we get to the function. But HOW close? Let's embark on a journey to find a bound for the error of a Taylor polynomial approximation. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.or

From playlist Series | AP Calculus BC | Khan Academy

Video thumbnail

Classify a polynomial and determine degree and leading coefficient

๐Ÿ‘‰ Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms and by its degree. A monomial is an expression of 1

From playlist Classify Polynomials | Equations

Related pages

Integer factorization | Chinese remainder theorem | Finite field | Indeterminate (variable) | De Boor's algorithm | Matrix exponential | Horner's method | Polynomial | K-independent hashing | Clenshaw algorithm | Floating-point arithmetic | Divide-and-conquer algorithm | Matrix polynomial | Cryptography | Multiplyโ€“accumulate operation | RSA (cryptosystem) | Hash table | Mathematics | Estrin's scheme | Arithmetic circuit complexity | B-spline | Kronecker product | Computational geometry | Computational complexity theory | De Casteljau's algorithm