Algebra-2

Question Analysis
This question requires students to solve a cubic equation by factoring. The equation is . Students need to find the roots of the polynomial.

Key Concept Explanation
To solve a cubic equation, students can use the Rational Root Theorem to list possible rational roots and test them. Once a root is found, synthetic division or polynomial long division can be used to reduce the polynomial to a quadratic, which can then be factored further.

Step-by-step Solution
1. Use the Rational Root Theorem to list possible rational roots:
2. Test : , so is a root.
3. Divide the polynomial by using synthetic division to get:

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