You have already studied polynomials in class 10 CBSE. Polynomial is an essential subject in the curriculum. The topics include production, geometrical meaning of the zeros of polynomials etc., in Class 10th maths chapter 2 NCERT solutions.
Polynomials are very important topics in mathematics that have application in maths and other subjects such as science. In this article, we will cover most of the concepts of the NCERT solution for class 10th maths polynomials, such as the geometrical meaning of the zeros of polynomials, the relationship between zero, and the coefficient of a Polynomial, etc.
Class 10 maths polynomials is an important chapter that requires thorough preparation and practice. We have fitted our class 10 maths NCERT solutions polynomials to meet the students' needs. In this chapter, many elements of polynomials are covered. The Chapter 2 Class 10th maths NCERT solution format follows a step-by-step procedure that adds comprehended topics.
Topics Covered in this chapter: (content table)
|1.||Introduction to Polynomials|
|2.||Geometrical meaning of the zeros of polynomials|
|3.||Relationship between zero and coefficient of a Polynomials|
|4.||Division Algorithms for polynomials|
A polynomial refers to an algebraic expression that contains two or more terms.
What do you mean by polynomial? You have studied the polynomial in Class 9th. The Polynomial word is derived from the Greek word "Poly" and "nominal", which means "many" and " terms". So the meaning of a polynomial is "many terms", for example, P(x)=x2+6x-12. A polynomial can be any number of terms but infinite.
Examples of the constants, variable, and exponent are as follows
Constant: 1,4,6,3 etc
Variables: a, b, c, etc
Exponent: a2, b3, d2, etc
Polynomial is defined as an expression that is composed of constants, exponents, and variables. These expressions are involved in the operation of addition, subtraction, and multiplication but not division.
Different types of polynomial based on the terms are as follows:
1. Monomial- 3a2
2. Binomial- 3x2 - 4x
3. Trinomial- 3x2 - 4x + 5
Types of polynomial according to a degree are as follows:
1. Linear Polynomial - where the degree of a monomial is 1. For example - 4a+1
2. Quadratic Polynomial - where the degree of a monomial is 2. For example - 4a2+1a+1
3. Cubic Polynomial - where the degree of a monomial is 3. For example - 6a3+4a+3a+1
4. Quartic Polynomial- where the degree of a monomial is 4. For example - 6a4+3a+3a+2a+1