Letf(x) = 3x4 – x³ - 24x² + 32x - 8. 1. Using the Rational Zeros Theorem, list the possible rational zeros of f(x). 2. Find all

Question

Letf(x) = 3x4 – x³ - 24x² + 32x - 8.
1. Using the Rational Zeros Theorem, list the possible rational zeros of f(x).
2. Find all (real/complex) zeros of f(x). You must use synthetic division to find the first two zeros. Any other method will receive no credit. Show all of your work.
3. Determine the X-intercept(s) of f(x). If there are no x-intercepts, write "NONE EXIST."

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