A quadratic polynomial whose one zero 0 is 6 and sum of the zero is 0 is,
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let the zeroes of the polynomial be alpha and beta
alpha = 6
alpha + beta = 0
=> 6 + beta = 0
=> beta = -6
.
p(x) = x^2 - (alpha + beta)x + (alpha × beta)
p(x) = x^2 - (0)x + (6×-6)
p(x) = x^2 - 36
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