Question

A quadratic polynomial whose one zero is 6 and sun of the zero is 0​

Answer 1

       $\underline{\bold{Solution:}}$

       $\text{It is given that one zero is 6 and sum of the zero is 0}$

       $\text{Let the other zero be }a$

$\implies 6 + a = 0$

$\implies a = -6$

       $\text{Product of zeroes} = 6(-6) = -36$

       $\text{We know that, a quadratic polynomial is of the form }\\x^{2} - (\text{Sum of zeroes})x + (\text{Product of zeroes})$

$\implies \text{The quadratic polynomial} = x^{2} - (0)x + (-36)$

$\implies \boxed{\text{The quadratic polynomial} = x^{2}-36}$