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If a polynomial p(x), has zeros at z1, z2, z3, ...

then p(x) is a multiple of (x - z1)*(x - z2)*(x - z3)...

To get the exact form of p(x) you also need to know the order of each root. If zk has order n then the relevant factor in p(x) is (x - zk)n

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Q: How do you polynomial whose zeros are given?
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