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

Probability, Q)  In a lottery ,a person chooses six different natural numbe...

Q)  In a lottery ,a person chooses six different natural numbers at random 1to 20,and if there six numbers match with the six numbers already fixed by the lottery committee ,he win

Addition involving negative numbers, Q. Addition Involving Negative Numbers...

Q. Addition Involving Negative Numbers? Ans. When you add together positive and negative numbers, there are essentially three possibilities that you can encounter. Let's e

Profit and loss, a man buy car at rs.50 and sells it at gain of 14% find ...

a man buy car at rs.50 and sells it at gain of 14% find the sp

Derive the marshalian demand functions, (a) Derive the Marshalian demand fu...

(a) Derive the Marshalian demand functions for the following utility function: u(x 1 ,x 2 ,x 3 ) = x 1 + δ ln(x 2 )       x 1 ≥ 0, x 2 ≥ 0 Does one need to consider the is

Project, transportation problem project

transportation problem project

Customer arithmetics, what is $6500 jamaican dollars in european money if ...

what is $6500 jamaican dollars in european money if jamaican $160.13 = 1 european money

Error analysis: describle and correct the error in plotting, to plot (5,-4)...

to plot (5,-4), start at (0,0) and move 5 units left and 4 units down

Nonhomogeneous systems, We now require addressing nonhomogeneous systems in...

We now require addressing nonhomogeneous systems in brief. Both of the methods which we looked at back in the second order differential equations section can also be used now.  Sin

Complement of a set, Need solution For the universal set T = {1, 2, 3, 4...

Need solution For the universal set T = {1, 2, 3, 4, 5} and its subset A ={2, 3} and B ={5, } Find i) A 1 ii) (A 1 ) 1 iii) (B 1 ) 1

Descriptive statistics, Descriptive Statistics Statistics Definit...

Descriptive Statistics Statistics Definition of Statistics: it viewed as a subject is a process of tabulating, collecting and analyzing numerical data upon which importan

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