# Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients: t2 – 15 - Mathematics

Sum

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)

For p(t) = 0, we have

Either (t + sqrt15) = 0

t = sqrt15

or t - sqrt15 = 0

t = sqrt15

Sum of the zeroes =-("coefficient of " t)/("coefficient of " t^2)

-sqrt15+sqrt15=(-0)/1

0 = 0

Also product of the zeroes = "constant term"/("coefficient of " t^2)

=(-15)/1

-sqrt15xxsqrt15=(-15)/1

-15=-15

Thus, the relationship between zeroes and the coefficients in the polynomial t2 - 15 is verified.

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Chapter 2: Polynomials - Exercise 2.2 [Page 33]

#### APPEARS IN

NCERT Mathematics Class 10
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

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