Question

Find a quadratic polynomial whose sum and product of zeroes are -2 root 3 - 9 respectively.

Answer 1

Answer:- x^2 - 2 x - √3-9

step by step explanation:-

The sum of zeroes is -2

The product of zeroes is √3-9

alpha + beta = - 2

alpha beta = √3 - 9

The general quadratic equation is

x ^{2} + (alpha + beta) x - alpha beta

hence; the quadratic polynomial is

x^2 - 2x - √3-9