To determine if is a root of the polynomial , use the Remainder Theorem. The remainder when is divided by is , indicating that is a root of the polynomial.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to use the Remainder Theorem to determine if a given value is a root of a polynomial.
Key Concept Explanation
The Remainder Theorem states that if a polynomial is divided by , the remainder is . If the remainder is zero, then 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
Click "Show Answer" to reveal the answer and analysis
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.