Question: Decide whether the statement is true or false. Justify your answer. 1. It is possible for a third-degree polynomial function with integer coefficients to have

Decide whether the statement is true or false. Justify your answer.
1. It is possible for a third-degree polynomial function with integer coefficients to have no real zeros.
2. If x = −i is a zero of the function f (x) = x3 + ix2 + ix - 1 then x = i must also be a zero of f.

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