Most of the important things in the world have been accomplished by people who have kept on trying when there seemed to be no help at all. – **Dale Carnegie**

# Lecture - 1 Chapter 2 Polynomials

Meaning of Polynomials (Linear, quadratic and cubic polynomials)

Graphical representation of different types of quadratic polynomials and how to read number of zeroes from graph of quadratic equation

00:07:04 NCERT Exercise 2.1 Question 1

00:08:45 Explanation for Relationship between coefficients and zeroes (roots) of a quadratic polynomial

00:10:45 Derivation for relationship between coefficients and roots of quadratic polynomial

NCERT Exercise 2.2 Question 1 Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.

(i) \(x^2-2x-8\)

(ii) \(4s^2-4s+1\)

(iii) \(6x^2-3-7x\)

(iv) \(4u^2+8u\)

(v) \(t^2-15\)

(vi) \(3x^2-x-4\)