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

Parametric curve - parametric equations & polar coordinates, Parametric Cur...

Parametric Curve - Parametric Equations & Polar Coordinates Here now, let us take a look at just how we could probably get two tangents lines at a point.  This was surely not

Comparison test for improper integrals - integration, Comparison Test for I...

Comparison Test for Improper Integrals Here now that we've seen how to actually calculate improper integrals we should to address one more topic about them.  Frequently we ar

Calculate the edges in an undirected graph, Calculate the edges in an undir...

Calculate the edges in an undirected graph along with two vertices of degree 7, four vertices of degree 5, and the remaining four vertices of degree are 6? Ans: Total degree of

Algebria, solve and graph the solution set 7x-4 > 5x + 0

solve and graph the solution set 7x-4 > 5x + 0

Explain the counting principle in maths, Explain the Counting Principle in ...

Explain the Counting Principle in maths? The fundamental counting principle is used when you want to calculate the total number of possible outcomes (or combinations) of an exp

Logics Puzzle, It’s been a busy weekend for Larry. Five people in his neigh...

It’s been a busy weekend for Larry. Five people in his neighborhood left on vacation Saturday morning and each of them left a pet for Larry to care for until they return. It’s a go

Regarding submitting sample work, How can I submit a sample of my work in e...

How can I submit a sample of my work in either teaching online or checking homework as I am retired and doing this for the first time?

Mensuration of plane figures, a sail has a spread of canvas as measured 12'...

a sail has a spread of canvas as measured 12'',12'', 15'' and 9'' and it has 90 degrees. Find the area of one side of the sail

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