Just show answer. Use the Rational Zero Theorem to find all zeros.
8x3 − 15x2 + 22x + 3 = 0

The zeros of the equation \( 8x^3 - 15x^2 + 22x + 3 = 0 \) using the Rational Zero Theorem are:

\[
x = -\frac{1}{2}, \quad x = 3, \quad x = \frac{1}{4}
\]

Would you like details on how these were found, or have any questions?

Here are 5 related questions:
1. What is the Rational Zero Theorem, and how is it used?
2. Can all polynomial equations be solved using the Rational Zero Theorem?
3. What are irrational zeros, and how do they differ from rational ones?
4. How can synthetic division help verify the zeros of a polynomial?
5. What happens if a polynomial has no rational zeros?

**Tip:** Always start by listing the possible rational zeros using factors of the constant and leading coefficient.

Just show answer. Use the Rational Zero Theorem to find all zeros. 8x^3 − 15x^2 + 22x + 3 = 0

Learn how to find the zeros of the cubic equation 8x^3 - 15x^2 + 22x + 3 using the Rational Zero Theorem. This step-by-step solution helps students in Grades 10-12 understand how to apply algebraic concepts to solve polynomial equations.

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