Question Analysis
This question tests the student's ability to factor a cubic polynomial and identify its roots. The polynomial is given in a partially factored form, and the student needs to determine the missing factors.
Key Concept Explanation
Factoring polynomials is a fundamental skill in algebra. For a cubic polynomial, if one root is known, the polynomial can be divided by the corresponding linear factor to find the remaining quadratic polynomial, which can then be factored further.
Step-by-step Solution
1. Given the polynomial and the known factor .
2. Perform polynomial division of by to get the quotient .
3. Factor the quadratic polynomial
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