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

Trigonmetry, On your geometry test you have two triangles: ?ABC and ?MNO. Y...

On your geometry test you have two triangles: ?ABC and ?MNO. You are told that ?A ? ? M and that ?B ? ? N. Which statement is also true?

COS Sheets, How do I find percentages with doing COS Sheets

How do I find percentages with doing COS Sheets

Curvature, steps to trace the cartesian curve

steps to trace the cartesian curve

Common graphs, Common Graphs : In this section we introduce common graph o...

Common Graphs : In this section we introduce common graph of many of the basic functions. They all are given below as a form of example Example   Graph y = - 2/5 x + 3 .

Geometry, how do you do rotations

how do you do rotations

Bounded intervals, Let a and b be fixed real numbers such that a ...

Let a and b be fixed real numbers such that a The open interval (a, b): We define an open interval (a, b) with end points a and b as a set of all r

Marginal probability, Marginal Probability Probability of event A happe...

Marginal Probability Probability of event A happening, denoted by P(A), is called single probability, marginal or unconditional probability. Marginal or Uncondi

Rectilinear figures, what are rctilinear figures ? types of rectilinear fig...

what are rctilinear figures ? types of rectilinear figures and their propertiees.

Average, A boy covered half of distance at 20km/hr and rest at 40kmlhr. cal...

A boy covered half of distance at 20km/hr and rest at 40kmlhr. calculate his average speed.

Determine the solution to initial value problem, Find the solution to the s...

Find the solution to the subsequent IVP. ty' - 2y = t 5 sin(2t) - t 3 + 4t 4 , y (π) = 3/2 π 4 Solution : First, divide by t to find the differential equation in the accu

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