Polynomials in two variables, Mathematics

Assignment Help:

Polynomials in two variables

Let's take a look at polynomials in two variables.  Polynomials in two variables are algebraic expressions containing terms in the form axn y m .  The degree of each term is the sum of the exponents in each term & the degree of the polynomial is the largest such sum in polynomial in two variables.

Following are some examples of polynomials in two variables and their degrees.

x2 y - 6x3 y12 + 10x2 - 7 y + 1                                      degree : 15

6x4 + 8 y 4 - xy 2                                                                      degree : 4

x4 y 2 - x3 y3 - xy + x4                                                degree : 6

6x14 -10 y3 + 3x -11y                                                  degree : 14

In these sort of polynomials not every term have to have both x's & y's in them, actually as we see in the last instance they don't have to have any terms which contain both x's and y's. Also, the degree of the polynomial might come from terms involving only one variable.  Note as well that multiple terms might have the same degree.

We also can talk about polynomials in three variables, or four variables or as several variables as we require.


Related Discussions:- Polynomials in two variables

Define markov chain, Define Markov chain Random processes with Markov ...

Define Markov chain Random processes with Markov property which takes separate values, whether t is discrete or continuous, are known as Markov chains.

Counters and registers, design a synchronous, recycling, MOD-12 counter wit...

design a synchronous, recycling, MOD-12 counter with D FF''s. Use the states 0000 through 1011 in the counter.

Calculate log equation, Calculate log equation: Calculate log 10 2 - ...

Calculate log equation: Calculate log 10 2 - log 10 3. Solution: Rule 2. log 10   (A/B): log 10   A - log 10   B log 10   2 - log 10   3 = log 10   (2/3) =

Why is vector division undefined, Division basically refers to multiplicati...

Division basically refers to multiplication of reciprocal. For example a/b is same as a*1/b or we can say, is same as a*b -1 , which is "a" multiplied to the inverse of "b". There

Geometry, geometry fbw = 128 saf= 104 what is rfd

geometry fbw = 128 saf= 104 what is rfd

Decision trees and sub sequential decisions, Decision Trees And Sub Sequent...

Decision Trees And Sub Sequential Decisions A decision tree is a graphic diagram of different decision alternatives and the sequence of events like if they were branches of a t

Subjective probability, Subjective Probability Probability may be de...

Subjective Probability Probability may be determined by a personal statement of how likely an outcome is in a single trial or repetition of the same experiment. Since sub

Polynomials, for what value of k,the following system of equations have inf...

for what value of k,the following system of equations have infinite solutions?kx + 5y -(k-5)=0;20x +ky - k=0

Integrals involving trig functions - integration techniques, Integrals Invo...

Integrals Involving Trig Functions - Integration techniques In this part we are going to come across at quite a few integrals that are including trig functions and few metho

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd