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