taiwan-gsat 2009 Q3

taiwan-gsat · Other · gsat__math Factor & Remainder Theorem True/False or Multiple-Statement Evaluation

3. Given that $f(x)$ and $g(x)$ are two real-coefficient polynomials, and the remainder when $f(x)$ is divided by $g(x)$ is $x^{4} - 1$. Which of the following options cannot be a common factor of $f(x)$ and $g(x)$?
(1) 5
(2) $x - 1$
(3) $x^{2} - 1$
(4) $x^{3} - 1$
(5) $x^{4} - 1$

& 4 & \multirow{4}{*}{B} & 14 & － & \multirow{3}{*}{G} & 26 & 0

3. Given that $f(x)$ and $g(x)$ are two real-coefficient polynomials, and the remainder when $f(x)$ is divided by $g(x)$ is $x^{4} - 1$. Which of the following options cannot be a common factor of $f(x)$ and $g(x)$?\\
(1) 5\\
(2) $x - 1$\\
(3) $x^{2} - 1$\\
(4) $x^{3} - 1$\\
(5) $x^{4} - 1$

Paper Questions

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