If f(x) is a third degree polynomial function , how many distinct complex roots are possible

Step-by-step explanation:

First of all, we have to know that complex roots can happen only in pairs, because they are based on the square root of a negative number.

On the other hand, a third degree polynomial can only have 3 roots as solution, because the degree of the polynomial specifies how many roots would have.

So, if we only can have 3 roots, and complex roots can only happen in pairs, then f(x) would have zero complex roots or two complex roots only, those are the unique scenarios.

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step-by-step explanation: