Question

Write a quadratic polynomial, sum of whose zeroes is -7 and product is -18?​

Answer 1

Step-by-step explanation:

and product of the zeros of a polynomial are \(2 \sqrt{3}\) and 2.

The required polynomial g(x) is given by

\(g(x)=k\left(x^{2}-S x+P\right)\)

\(g(x)=k\left(x^{2}-2 \sqrt{3} x+2\right)\)

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.