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

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

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