Classify the following polynomial as a polynomial in one variable,two variables,etc.:
$x^{2}-2xy+y^{2}+1$
$x^{2}-2xy+y^{2}+1$
(B) The given expression is $x^{2}-2xy+y^{2}+1$.
In this expression,the variables present are $x$ and $y$.
Since there are two distinct variables,this is a polynomial in two variables.
In this expression,the variables present are $x$ and $y$.
Since there are two distinct variables,this is a polynomial in two variables.
Explore More
Similar Questions
Expand $(6x - 7)^2$.
Easy
View SolutionDetermine which of the following polynomials has $(x-2)$ as a factor:
$A) 3x^2 + 6x - 24$
$B) 4x^2 + x - 2$
$A) 3x^2 + 6x - 24$
$B) 4x^2 + x - 2$
Medium
View SolutionWith the help of the remainder theorem,find the remainder when the polynomial $x^{3}+7x^{2}+17x+25$ is divided by $x+4$.
Medium
View SolutionWithout finding the cubes,factorise $(x-y)^{3}+(y-z)^{3}+(z-x)^{3}$.
Difficult
View SolutionEvaluate $(1002)^{2}$.
Difficult
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo