Coincident roots

Algebra Level 4

Given that \( f(x) g(x) = 0\) where \(f(x)\) and \(g(x)\) are degree 2 polynomial with sum of zeroes \(-2\) and \(+2\) respectively. Their constant terms is same as well as coefficient of highest degree term, then no. of coincident zeroes of their product is/are: \(\text{__________} \).

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