Question

write a quadratic polynomial, sum of whose zeroes is 2 and product is -9​

Answer 1

Answer. Let S and P denotes respectively the sum and product of the zeros of a polynomial are \(2 \sqrt{3}\) and 2. Hence, the quadratic polynomial is \(g(x)=k\left(x^{2}-2 \sqrt{3} x+2\right)\)where k is any non-zero real number.