According to the Remainder Theorem, if a polynomial is divided by , the remainder is .
Answer & Analysis
Analysis
Question Analysis
This question assesses the student's ability to apply the Remainder Theorem to a cubic polynomial. The theorem states that the remainder of the division of a polynomial by is .
Key Concept Explanation
The Remainder Theorem is a useful tool for evaluating polynomials at specific points without performing long division. It is particularly helpful in finding remainders and testing potential roots.
Step-by-step Solution
1. Identify the polynomial and the value .
2. Substitute into the polynomial:
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