The given expression is:

\[
x^3 + x^2 - 17x + 15
\]

This is a cubic polynomial with the following terms:
- \(x^3\) is the cubic term.
- \(x^2\) is the quadratic term.
- \(-17x\) is the linear term.
- \(+15\) is the constant term.

Would you like to factor this polynomial, find its roots, or graph it? Let me know if you'd like further details or explanations.

Here are five related questions to expand your understanding:
1. How do you find the roots of a cubic polynomial?
2. What does each term in the polynomial represent geometrically in a graph?
3. How can you apply synthetic division to cubic polynomials?
4. What methods are available for factoring cubic polynomials?
5. How does the behavior of a cubic function differ from quadratic functions?

**Tip**: Always check for rational roots using the Rational Root Theorem when dealing with polynomials.

Learn how to factor and solve the cubic polynomial x^3 + x^2 - 17x + 15. This problem covers core algebraic concepts like the Rational Root Theorem and the Factor Theorem, with step-by-step explanations for students in Grades 9-12.

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