In algebra, a monic polynomial is a single-variable polynomial (that is, a univariate polynomial) in which the leading coefficient (the nonzero coefficient of highest degree) is equal to 1. Therefore, a monic polynomial has the form: (Wikipedia).
One Algebra Puzzle - Find the Value of the Monic Polynomial
Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/de/stores/papaflammy Hey bois and grills :3 Have a pleasant weekend! =D We are goign to take a look at this little algebra problem, where we want to find out the value of a monic fifth
From playlist Random problems
Polynomials (2 of 3: Adding & Subtracting Polynomials)
More resources available at www.misterwootube.com
From playlist Further Polynomials
Classify a polynomial then determining if it is a polynomial or not
π 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?
Learn how to write a polynomial in standard form and classify
π 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
Is it a polynomial with two variables
π 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?
Classifying a polynomial based on its degree and number of terms
π 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
Learn how to classify a polynomial as a cubic binomial
π 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
Abstract Algebra | Writing the gcd of polynomials as a combination.
We prove that the greatest common divisor of any two polynomials over a field can be written as polynomial combinations of the original polynomials. This is Bezout's identity for polynomials. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: h
From playlist Abstract Algebra
Proof of the existence of the minimal polynomial. Every polynomial that annihilates an operator is a polynomial multiple of the minimal polynomial of the operator. The eigenvalues of an operator are precisely the zeros of the minimal polynomial of the operator.
From playlist Linear Algebra Done Right
The Runge Function, Polynomial Interpolation, and the Cauchy Residual Theorem
A tour of interpolation, starting with a simple example and ending with completely unexpected and beautiful convergence results. Skip to about 2:25 if you wish to avoid the gentle intro. Topics covered include: polynomial convergence examples, the Runge Function (not related to Runge-Kutta
From playlist Summer of Math Exposition Youtube Videos
Commutative Algebra - Integral Closures - part 01 - Basics
This is a video for a second semester graduate algebra class.
From playlist Integral Closures
Factoring Trinomials with the Box Method // Math Minute [#31] [ALGEBRA]
Second-degree trinomials can be split up into two groups for the purposes of factoring: those in which the coefficient of the xΒ² term is equal to 1 (we call these monic quadratics) and those in which that coefficient is NOT equal to 1 (we call these non-monic quadratics). If a given trinom
From playlist Math Minutes
How to classify a polynomial by it's degree and number of terms
π 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
CSDM - Rafael Oliveira - October 12, 2015
http://www.math.ias.edu/calendar/event/83504/1444662900/1444666500
From playlist Computer Science/Discrete Mathematics
Determining if a equation is a polynomial or not
π 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?
[ANT13] Dedekind domains, integral closure, discriminants... and some other loose ends
In this video, we see an example of how badly this theory can fail in a non-Dedekind domain, and so - regrettably - we finally break our vow of not learning what a Dedekind domain is.
From playlist [ANT] An unorthodox introduction to algebraic number theory
Abstract Algebra | Eisenstein's criterion
We present a proof of Eisenstein's criterion along with some examples. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.michael-penn.net Randolph College Math: http://www.randolphcollege.edu/mathematics/ Research Gate profile: htt
From playlist Abstract Algebra
Learning the basics of classifying polynomials based on degree and number of terms
π 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
Cayley-Hamilton Theorem: General Case
Matrix Theory: We state and prove the Cayley-Hamilton Theorem over a general field F. That is, we show each square matrix with entries in F satisfies its characteristic polynomial. We consider the special cases of diagonal and companion matrices before giving the proof.
From playlist Matrix Theory