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The given function is \( P(x) = 2x^3 + x^2 - 10x - 5 \). 

Would you like me to solve for specific values of \( x \), find the roots, or perform another operation like finding the derivative or analyzing its behavior?

Let me know what you need! Here are some things we can explore:

1. Find the roots of the polynomial \( P(x) = 0 \).
2. Determine the derivative \( P'(x) \) for analyzing the function's slope.
3. Identify the critical points by setting \( P'(x) = 0 \).
4. Evaluate \( P(x) \) for specific values of \( x \).
5. Determine the end behavior of \( P(x) \) as \( x \to \infty \) or \( x \to -\infty \).

### Tip: Polynomials of degree 3, like this one, can have up to three real roots!

Explore the cubic polynomial equation 2x^3 + x^2 - 10x - 5. Learn about finding its roots, analyzing its derivative, and studying its end behavior. Suitable for students in Grades 10-12.

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