# Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients - Mathematics

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients

t2 – 15

#### Solution

h(t) =t^2-15=(t)^2-(sqrt15)^2=(t+sqrt15)(t-sqrt15)

zeros of the polynomials are -sqrt15 and sqrt15

sum of zeroes = 0

-sqrt15+sqrt15=0

0 = 0

Product of zeroes =(-15)/1

-sqrt15xxsqrt15=-15

-15=15

∴ Hence the relationship verified.

Concept: Relationship Between Zeroes and Coefficients of a Polynomial
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#### APPEARS IN

NCERT Class 10 Maths
Chapter 2 Polynomials
Exercise 2.2 | Q 1.5 | Page 33
RD Sharma Class 10 Maths
Chapter 2 Polynomials
Exercise 2.1 | Q 1.3 | Page 33