Question

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

Answer 1

Let the zeroes be A and B respectively

A+B=0
A*B=-1

Polynomial= k{x²-(A+B)x + A*B}
= x² - 1

Answer 2

Answer:

0/1 = -b/a

so b is 0 and

-1/1 = c/a

c=-1

a=1