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The zeros of the function \( f(x) = 16x^3 - 72x^2 - 43x + 15 \) are:

\[
x = -\frac{3}{4}, \frac{1}{4}, 5
\]

Would you like more details on how these were calculated, or do you have any questions?

Here are 5 related questions you might consider:

1. What does it mean for a value to be a zero of a function?
2. How can the Rational Root Theorem help in solving cubic polynomials?
3. How can you verify the zeros by factoring or synthetic division?
4. What is the graphical interpretation of zeros of a polynomial function?
5. How can complex zeros arise in polynomial equations?

**Tip:** To check if these zeros are correct, you can substitute them back into the original equation and ensure the function evaluates to zero.

Find all zeros of the function f(x) = 16x^3 - 72x^2 - 43x + 15.

Learn how to solve the cubic equation f(x) = 16x^3 - 72x^2 - 43x + 15 by finding its zeros using algebraic methods such as the Rational Root Theorem. Detailed steps provided, suitable for Grades 10-12.

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