Answer:
- f(x) = x⁴ - 11x³ + 25x² - 11x + 24
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It is assumed the provided numbers are the zero's of the polynomial function.
We know complex zero's come in pairs if function has rational constants.
So we should have zero's: 8, 3, -i and i.
Find the polynomial:
- f(x) =
- (x - 8)(x - 3)(x + i)(x - i) =
- (x² - 11x + 24)(x² + 1) =
- x⁴ - 11x³ + 25x² - 11x + 24