# 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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