To determine if is a root of the polynomial , use the Remainder Theorem. The remainder when is divided by is , confirming is not the root of g(x).
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply the Remainder Theorem to determine if a given value is a root of a polynomial. The Remainder Theorem states that if a polynomial is divided by , the remainder is . Here, we need to evaluate to find the remainder.
Key Concept Explanation
The Remainder Theorem is a powerful tool for testing potential roots of a polynomial. If the remainder is zero, then the value is a root of the polynomial.
Step-by-step Solution
1. Identify the polynomial and the divisor .
2. According to the Remainder Theorem, the remainder when is divided by is .
3. Substitute
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