Question

8. Sum and product of the zeroes of a quadratic polynomial are -3 and 7 respectively. Ani
and Aarna are discussing about number of such polynomials,
Ani says, "There exist only one polynomial x² + 3x +7
Aarna says, "There exist infinite such polynomials. Who is correct?​

Answer 1

Answer:

Let polynomial be ax²+bx+c

1. Sum of zeroes( alpha + beta)=-3/1=3/1=-b/a

2. Product of zeroes(alpha×beta)=7/1=c/a

Polynomial formed is x²+3x+7

Ani is right.