Question

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

Answer 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