You have provided the polynomial function \( P(x) = x^3 + 4x^2 + x - 6 \). What would you like to do with this polynomial? Here are some typical options:

1. Factor the polynomial.
2. Find the roots (solutions) of the equation \( P(x) = 0 \).
3. Evaluate \( P(x) \) for a specific value of \( x \).
4. Determine the derivative of \( P(x) \).
5. Analyze the graph of \( P(x) \), such as identifying its critical points, turning points, or inflection points.

Please specify what you'd like to explore!

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**Tip:** For cubic polynomials, if factoring directly is difficult, applying the Rational Root Theorem can help identify possible rational roots.

Explore how to solve the cubic polynomial P(x) = x^3 + 4x^2 + x - 6. This detailed guide covers factoring, finding roots using the Rational Root Theorem, and graph analysis. Suitable for students in Grades 10-12.

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