x² - 2xy + y² + 1. Classify the following polynomial as polynomials in one variable, two variables etc
Solution:
Given, the polynomial is x² - 2xy + y² + 1.
We have to classify the given polynomial.
A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Polynomials can be classified based on the number of variables
1) Monomial - an expression with only one variable
2) Binomial - an expression that contains two variables
3) Trinomial - an expression that contains three variables.
4) Constant polynomial - an expression that contains only the constant term
5) Polynomial - A polynomial is a type of expression.
x² - 2xy + y² + 1 is an expression with two variables
Therefore, x² - 2xy + y² + 1 is a polynomial.
✦ Try This: Classify the following polynomial as polynomials in one variable, two variables etc. a² + 2ab + b² + b.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 2
NCERT Exemplar Class 9 Maths Exercise 2.3 Problem 1(iv)
x² - 2xy + y² + 1. Classify the following polynomial as polynomials in one variable, two variables etc
Summary:
x² - 2xy + y² + 1 is a polynomial with two variables
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