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Question:
If alpha and beeta are the zeroes of a polynomial,such that alpha +beeta +alphabeeta=4 then write the polynomial
Answer:

Correct Question is:

If alpha and beta are the zeroes of a polynomial such that alpha + beta = 6 and alpha*beta = 4, then write the polynomial.

Solution:

Given, alpha and beta are the zeroes of a polynomial and

alpha + beta = 6, alpha*beta = 4

Now, The polynomial is

     x2 - (alpha + beta)x + alpha * beta

=> x2 - (6)x + 4

=> x2 - 6x + 4

This is the required Polynomial.

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