find the quadratic polynomial, each with the given numbers as the sum and product of its zeroes respectively.
-√2, √3​

1 thought on “find the quadratic polynomial, each with the given numbers as the sum and product of its zeroes respectively. <br />-√2, √3​”

1. Answer:

   x^2 +root 2x + root 3

   Step-by-step explanation:

   Let the zeroes of the polynomial be alpha and beta

   alpha + beta = -root2 and alpha × beta = root 3

   required polynomial is given by

   x^2- (alpha +beta)x + alpha ×beta = x^2-(- root 2 )x + root 3 = x^2 + root 2x + root 3

   Reply