Polynomials can have Coefficients, Terms, Variables and involves Powers of the Variable

Algebraic Expression	Algebraic Equation	Ordering of Polynomials	Types of Polynomials	Addition of Polynomials
Subtraction of Polynomials	Multiplication of Polynomials	Division of Polynomials	Types of Degree / Powers in Polynomials	Difference between Polynomials of Integers & Rationals
Find Value of Polynomial	Find Zero of Polynomial	Remainder Theorem in Polynomial	Linear Equations	Quadratic Equation
Factoring of Quadratic Polynomials

Before you understand this topic you should read - What is Algebraic Expression ? What are Terms ? An algebraic Expression with one or more terms is called Polynomials . Eg. 2a, 5x + y, 2x2 + 3x + y, all are polynomials If the variable in the polynomial is x, we may denote the polynomial by p(x) or q(x) or r(x) etc For example: Polynomial 5x3 + 3x2 + x can be written as: p(x) = 5x3 + 3x2 + x Polynomial a3 + 2a + 3 can be written as: q(a) = a3 + 2a + 3 Polynomial r2 + r + 35 can be written as: f(r) = r2 + r + 35 A polynomial can have any number of terms. Polynomials can be of following types: Zero Polynomial Monomial Binomial Trinomial (You can study these types from the above provided link) Have a look at the below expression and study what are terms, constant term, variables, power and coefficients of Polynomial. 3x2 + 2x + 2 Terms in given Polynomial are : 3x2 + 2x + 2 Constant Term in given Polynomial is : 3x2 + 2x + 2 Variables in given Polynomial are : 3x2 + 2x + 2 Power / Exponent in given Polynomial is : 3x2 + 2x + 2 Coefficients in given Polynomial are : 3x2 + 2x + 2 Note: If Power or Exponent is negative then it is not a polynomial . For example x-2 or 2x-2 Let's study few examples and find terms, constant term, variables, power and coefficients of Polynomial Example - 1 : Find terms, constant term, variables, power and coefficients from 4y2 + 5x + 3 Solution : The given Polynomial is 4y2 + 5x + 3 so Terms in given Polynomial are : 4y2 + 5x + 3 Constant Term in given Polynomial is : 4y2 + 5x + 3 Variables in given Polynomial are :4y2 + 5x + 3 Power in given Polynomial is : 4y2 + 5x + 3 Coefficient in given Polynomial are : 4y2 + 5x + 3 Example - 2 : Find terms, constant term, variables, power and coefficients from 5y2 + 6x - 4 Solution : The given Polynomial is 5y2 + 6x - 4 so Terms in given Polynomial are : 5y2 + 6x - 4 Constant Term in given Polynomial is : 5y2 + 6x - 4 Variables in given Polynomial are : 5y2 + 6x - 4 Power in given Polynomial is : 5y2 + 6x - 4 Coefficient in given Polynomial are : 5y2 + 6x - 4 Example - 3 : Find terms, variables, power and coefficients from 5x3 + 4y2 + 3x Solution : The given Polynomial is 5x3 + 4y2 + 3x so Terms in given Polynomial are : 5x3 + 4y2 + 3x Variables in given Polynomial are : 5x3 + 4y2 + 3x Powers in given Polynomial are : 5x3 + 4y2 + 3x Coefficients in given Polynomial are : 5x3 + 4y2 + 3x Example - 4 : Is 25 a polynomial Solution - Yes 25 is a polynomial as one term is allowed in polynomial and this 25 is also a constant Example - 5 : Is x-3 is polynomial Solution : No, x-3 is not a polynomial because its power is negative Study More Solved Questions / Examples Find terms, constant term, variables, power and coefficients from the following A) 9x2 + 8x + 2 B) 7x2 + 6x + 2 C) 9y2 + 8x + 3 D) 7y2 + 6x + 3 E) 6y2 + 5x + 2 F) 2x3 + 3y2 + 2x Check whether the below are polynomials or not A) 55 B) 300 C) 2y-3 D) 5y-3 + 2x + 1 E) x + 2/x F) y + 3/y G) 3x2 + 2x + 2 H) 4x2 + 4x + 3