The zeros of the cubic polynomial function are 2 and i.

The value of the function : f(1) = 6.

The complex zeros occur in conjugate pairs, so, i is also a zero of the polynomial function.

From the linear factorization theorem, the cubic polynomial  f(x) can be written as :

Find the value of a by using the fact : f(1) = 6.

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Substitute the value in .

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The cubic polynomial function .