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

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

t2 – 15

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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
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