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Find a quadratic polynomial whose zeroes are 2 and -6.Verify the relation between the coefficients and zeroes of the polynomial.
Required polynomial = x2 -(sum of zeros)x + product of zeros
                                = x2 -(2-6)x + 2(-6)
                                = x2 + 4x -12
coefficient of x = 4 = - sum of zeros
constant term = -12 = product of zeros