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The zeros of the function \( f(x) = 8x^3 - 6x^2 - 45x - 27 \) are:

\[
x = -\frac{3}{2}, -\frac{3}{4}, 3
\]

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Here are some related questions:
1. How do you verify the zeros of a cubic function?
2. What are the techniques to factor cubic polynomials?
3. Can all cubic functions be factored easily by inspection?
4. How does the Rational Root Theorem apply to this function?
5. What are the steps to solve higher-degree polynomials?

**Tip:** To confirm your roots, substitute them back into the original equation and check if the result is zero.

Find all zeros of the function f(x) = 8x^3 - 6x^2 - 45x - 27. Enter the zeros separated by commas.

Learn how to solve for the zeros of the cubic polynomial function f(x) = 8x^3 - 6x^2 - 45x - 27 with step-by-step explanations. This problem covers key algebraic techniques such as the Rational Root Theorem, synthetic division, and factorization. Suitable for students in Grades 10-12.

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