Answer :
Final answer:
The possible rational zeros of the function f(x) = x⁵ - 5x⁴ + 11x³ - 23x² + 28x - 12 are -12, -6, -4, -3, -2, -1, 1, 2, 3, 4, 6, and 12.
Explanation:
To find the rational zeros of the function, we can use the Rational Root Theorem. According to the theorem, the possible rational zeros are the factors of the constant term (in this case, -12) divided by the factors of the leading coefficient (in this case, 1). So, the possible rational zeros are -12, -6, -4, -3, -2, -1, 1, 2, 3, 4, 6, and 12.
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