Question

find the zeroes of the folowing quadratic ploynomial and verify and relationhip between the zeroes and the cofficients xsquare -2x-8

Answer 1

Answer:

To verify the relation between the zeroes and the cofficients :-

x² - 2x - 8

x² - 4x + 2x - 8

x (x - 4 ) + 2 (x - 4 )

(x - 4 ) (x + 2 )

Thus the zeroes are :- 4 and - 2.

Here a = 1 , b = - 2 and c = - 8

Sum of zeroes = - b / a

4 + ( - 2 ) = - ( - 2 ) / 1

4 - 2 = 2

2 = 2

L. H. S. = R. H. S.

Product of zeroes = c / a

4 x ( - 2 ) = - 8 / 1

- 8 = - 8

L. H. S = R. H. S.

THEREFORE THE RELATION BETWEEN ZEROES AND COFFICIENTS IS VERIFIED.