is there any difference between the polynomial and multinomial ?

Question

i saw these terms at some where. but till now i know polynomial , but what is multinomial?

Answer 1

Multinomial is the sum of a number of terms. It have the character of a polynomial.



Here are some FORMS :-

1. Biquadratic polynomial, Quartic polynomial, Biquadratic - a polynomial of the fourth degree

2. Homogeneous polynomial - a polynomial consisting of terms all of the same degree

3. Monic polynomial - a polynomial in one variable

4. Quadratic polynomial, Quadratic - a polynomial of the second degree

:)

Answer 2

Difference Between Polynomial And Multinomial

Answer 3

Any sum of one or more terms is called a Polynomial. Polynomials have different names.



for example



x is a monomial*



x+1 is a binomial



x-1+y is a trinomial



x-1+y+2x is a multinomial (could have been called quadnomial but ... lol nah)



So what is a Quadratic? It is just a polynomial where the highest exponent (power) is 2. Basically, a polynomial of the 2nd degree algebraically.



For example,



x²+y-3 is a quadratic trinomial



x² is a quadratic monomial



*by the way if you are wondering what makes a term like x or x² a sum or a polynomial when there is nothing else you see that is being added or taken away then see this ...



x = x + 1 - 1



x² = x² + 1 - 1

Answer 4

As far as common usage goes, Vancho is right. There are also multinomial coefficients, a generalisation of binomial coefficients. Do internet searches to learn more about them.



"Multinomial" can refer to polynomials (Ref 1), but I have never heard the term used this way.



Ref 1: http://mathworld.wolfram.com/Multinomial.html

Answer 5

well there is no diff b/w polynomial n multinomial.Both have same meaning. Polynomial means expression of 2 than more algebraic terms. There is no such term like multinomial.

Answer 6

Polynomial is an expression involving sums of powers of variables, with appropriate coefficients.



Multinomial distribution is a generalization of the binomial distribution in Theory of Probability.



These two have nothing in common.

Answer 7

multinomial? never heard of it