https://file.aiquickdraw.com/mathbot/file/1722518410360epf34vez.PNG

The expression given in the image is:

\[ a^3 - 3a + 2 \]

Would you like a detailed explanation on factoring this polynomial or any specific information related to it?

Here are some follow-up questions that might interest you:
1. How can we factor the cubic polynomial \( a^3 - 3a + 2 \)?
2. What are the roots of the polynomial \( a^3 - 3a + 2 \)?
3. How do we find the derivative of \( a^3 - 3a + 2 \)?
4. Can the Rational Root Theorem be applied to \( a^3 - 3a + 2 \)?
5. How does the polynomial \( a^3 - 3a + 2 \) behave graphically?
6. What are the critical points of the function \( f(a) = a^3 - 3a + 2 \)?
7. How can synthetic division be used to factor \( a^3 - 3a + 2 \)?
8. What is the importance of finding the real and complex roots of cubic polynomials?

**Tip:** When solving polynomial equations, checking for rational roots first can simplify the problem significantly, especially with polynomials of higher degrees.

Explore how to factor the cubic polynomial a^3 - 3a + 2 with a comprehensive explanation. This problem involves understanding polynomials, factoring methods, and the application of the Rational Root Theorem. Suitable for high school students.

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