Question

find the quadratic polynomial sum of whose is 0 and their product is -1 ,hence find zeros of polynomial

Answer 1

x^2 - (sum of zeroes)x+product.....(i)
let the zeroes be a and b
a+b= 0
ab= -1
 by eq (i)
x^2 - 1 =0
(x+1)(x-1)=0
x= -1 and x=1

Answer 2

Hi !

Sum of zeros = 0
Product of zeros = -1

x² - (sum of zeros )x + (product of zeros)

x² - 0x  - 1

x² - 1 ---> required polynomial 

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finding zeros :-

x² - 1

x² - 1²

(x+1) (x-1)

x = 1
x = -1

the zeros are -1 and 1