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

Lines, i dont understand angels and lines

i dont understand angels and lines

Differential equations, verify liouville''s theorem for y''''''-y''''-y''+...

verify liouville''s theorem for y''''''-y''''-y''+y=0

prove that x = 2h/3, A vertical post stands on a horizontal plane.  The an...

A vertical post stands on a horizontal plane.  The angle of elevation of the top is 60 o and that of a point x metre be the height of the post, then prove that x = 2 h/3 .

Z-value, A study was conducted to determine the proportion of people who dr...

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 317317 people over the age of? 55, 7777 dream in black and? whi

Combinations, Now we take up combinations and its related concepts. C...

Now we take up combinations and its related concepts. Combinations are defined as each of the groups or selections which can be made by taking some or all of the

Division of two like terms, Case 1: Suppose we have two terms 8ab and 4ab. ...

Case 1: Suppose we have two terms 8ab and 4ab. On dividing the first by the second we have 8ab/4ab = 2 or 4ab/8ab = (1/2) depending on whether we consider either 8ab or 4ab as the

gauss elimination method , Question: Use  Gauss elimination method to ...

Question: Use  Gauss elimination method to solve the following system of equations.  -y +3z=4  2x-y-2z= 2  2x-2y+z =6  4x-y-7z= 0

Discrete-time signal, Determine the fundamental period of the following dis...

Determine the fundamental period of the following discrete-time signal: X(n) = 2sin(4n)π +π/4) + 5sin16n +4sin (20n +π/3)

Surface area, Find the amount of sheet metal need to form a conical funnel ...

Find the amount of sheet metal need to form a conical funnel of base radius 30cm with a vertical height of 50cm, allowing for 0.5cm overlap. Find the total surface area?

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