Question

Find the quadratic polynomial whose sum is 0 and product is -1. Also find its zeros

Answer 1

Answer:

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

x^2-1=0

x=+1 or -1

Answer 2

Answer: $x^{2}$ - 1 is the answer

Step-by-step explanation:

here, lets assume one zero is $\alpha$ and the other is $\beta$.

then, $\alpha \beta$= -1

and $\alpha$+$\beta$= 0

Quadratic polynomial formed is $x^{2}$ - x($\alpha$+$\beta$) + $\alpha \beta$

now, we know the product and sum of roots,

so, Q.P. is $x^{2}$ - 1