Final answer:
To determine the rational zeros of a polynomial function, methods such as the rational root theorem, synthetic division, and graphing techniques can be used.
Step-by-step explanation:
To determine the rational zeros of a polynomial function, you can use several methods such as the rational root theorem, synthetic division, and graphing techniques.
The rational root theorem states that the possible rational zeros of a polynomial function with integer coefficients can be determined by finding the factors of the constant term and dividing them by the factors of the leading coefficient.
Synthetic division is a method that allows you to divide a polynomial function by a linear binomial quickly to determine if it has rational zeros.
Graphing techniques involve graphing the polynomial function and analyzing the x-intercepts, which represents the potential rational zeros.
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