Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ? f (x) = x3 – 2x2 – 3x + 6, f (x)= x3 – 2x2 + 3x + 6, f (x) = x3 + 2x2 – 3x + 6, f (x) = x3 + 2x2 – 3x – 6

To solve this question, we use the factor theorem, and using it, the polynomial function is:

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The factor theorem means that if k is a root of f(x), f(k) = 0.

Thus, applying the factor theorem for this question, we have to choose the function for which:

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Function 1:

Testing the values:

Thus, since all three conditions are satisfied, is the polynomial function.

A similar question is given at

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step-by-step explanation: