Chapter no.2 POLYNOMIALS
Today we are going to learn
1)The Classification of Polynomial according to terms and according to the degree
2)The degree of the Polynomial
from chapter 2 of your Mathematics textbook.
Algebraic Expression:- An algebraic expression is a combination of variables and the numbers connected by +,- ,× and ÷.
e.g 3x +7 , x cube + y etc.
Polynomial:- A Polynomial is an expression consisting of variables and coefficients that involves only the Operations of addition, subtraction, multiplication and non-negative integer exponents of variables.
Or In other words, If all the power of the variables in an expression are whole number then that expression is called Polynomial.
e.g 5x+9 , x square +7x+12 etc.
Classification of Polynomial:- According to the terms Polynomials are classified as below
1) Monomials :- Polynomials having only one term are known as Monomials.
e.g 3x square, 5x etc.
2) Binomials :- Polynomials having only two terms are known as Binomials.
e.g 2x +3 , x square -4 etc.
3) Trinomials :- Polynomials having only three terms are known as Trinomials.
e.g x square +7x +12 , x cube + 5 x square + 4
etc.
Degree of a Polynomial in one variable :- The highest exponent ( power) of the variable in a Polynomial is called degree of the Polynomial.
Note :- i) The degree of constant Polynomial is zero i.e the degree of Polynomial 5 is 0.
ii) The degree of zero Polynomial is can not be determined i.e the degree of 0 is can not determined.
Classification of Polynomial:- According to degree ,the polynomial are classified as below
1) Linear Polynomial:- A Polynomial of degree one is called a linear polynomial.
e.g 2x+1, 5x etc.
2) Quadratic Polynomial:- A Polynomial of degree two is called a quadratic polynomial.
e.g 7-x square, y square - 4 etc.
3) Cubic Polynomial:- A Polynomial of degree three is called cubic polynomial.
e.g x cube - 8 , 4x cube etc.
Now observe the examples
The video of Polynomial, Degree of Polynomial and Exercise 2.1 are available in the following link
Observe the Exercise 2.1 and write the solutions in your own step
Assignment ( other examples for practice)
Homework :- Solve Exercise 2.1 and also Assignment.
