Question

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

Answer 1

Step-by-step explanation:

Let S be the sum of the roots and P be the product of the roots for any polynomial ax^2+ bx + c.

Then,

Polynomial = x^2 + (S)x + (P)

= x^2 + (0)x + (-1)

= x^2 -1

roots = x^2 - 1 = 0

= (x+1)(x-1) = 0

x = +1 , -1