Free NCERT Class 10 Maths Chapter 2 Notes - Download PDF

Polynomials Class 10th Notes are provided here. These NCERT notes are created by an expert team at careers360 considering the need of students. these are helpful to revise quickly all the concepts discussed in this chapter. Also these notes includes shorts tricks, tips and formulas to solve the problems. Polynomials in the NCERT chapter deals with algebraic equations. It can be a quadratic, linear, or cubic equation. The NCERT Class 10 Maths chapter 2 notes covers a brief outline of the chapter Polynomial. The main topics covered Polynomials Class 10 notes, give you different types of polynomials. Class 10 Math’s chapter 2 notes also include the important formulas in the chapter. These topics can also be downloaded from Polynomial Class 10 notes pdf download.

Also, students can refer,

• NCERT Solutions for Class 10 Maths Chapter 2 Polynomials
• NCERT Exemplar Solutions for Class 10 Maths Chapter 2 Polynomials

Polynomials Class 10 Notes:

A polynomial is an expression that contains constants, variables, and exponents.

The mathematical form is-

Degree of Polynomials

Consider the polynomial 3x². Here, 3 is the leading coefficient and 2 is the degree.

Let F(y) is a polynomial in y, then the highest power of y in the F(y) will be the degree of polynomial F(y).

Types of Polynomial according to their Degrees

Value of Polynomial

Let f(y) be a polynomial in y and α be any real number, then the value calculated after putting the value y = α in f(y) is the final value of f(y) at y = α. This shows that f(y) at y = α is represented by f(α).

Zero of a Polynomial

Zero of a polynomial f(x) is all the values of x that make the polynomial value zero.

Geometrical Meaning of the Zeroes of a Polynomial

The coordinates of the x-axis of a point at which the graph of the polynomial divides the axis are called Zeroes of the polynomial.

Graph of a Linear Polynomial

Graph of a linear polynomial is a straight line that intersects the x-axis at one point only, therefore a linear equation has 1 degree.

Graph of Quadratic Polynomial-

Case 1: The two points shown are the two zeroes of the quadratic equation when the graph cuts the x-axis at those particular points.

Case 2: A point is called the zero of that quadratic equation when the graph cuts the x-axis at a single point and the equation will be a perfect square.

Case 3: When the graph does not divide the x-axis at any point, then the graph is either completely above the x-axis or below the x-axis. At that condition, the quadratic equation has no zeros, because the equation does not divide the x-axis at any point.

Relationship Between Zeroes and Coefficients of a Polynomial

Let α and β are zeroes of quadratic polynomial and α, β and γ are zeroes of a cubic polynomial-

Division Algorithm for Polynomial

If f(x) and h(x) are any two polynomials with h(x) ≠ 0, then we can easily find polynomials g(x) and j(x) such that

f(x) = h(x) × g(x) + j(x),

where g(x) not equal to 0 or degree of g(x) < degree of h(x).

g(x) is diviso, h(x) quotient r and r(x) is reminder

Significance of NCERT Class 10 Math’s Chapter 2 Notes-

Polynomials Class 10 notes will give a detailed overview of the chapter and get a sense of the main topics discussed.

This NCERT Class 10 Maths chapter 2 notes will help to understand the formulas, statements, rules in detail.

In offline mode, Class 10 Math’s chapter 2 notes pdf download/Polynomials Class 10 notes pdf download can be referred.

Class 10 Chapter Wise Notes

NCERT Solutions of Cass 10 Subject Wise

• NCERT Solutions for Class 10 Maths
• NCERT Solutions for Class 10 Science

NCERT Class 10 Exemplar Solutions for Other Subjects:

• NCERT Exemplar Class 10 Maths solutions
• NCERT Exemplar Class 10 Science solutions