9. A student practices calculating the remainder when a cubic polynomial $f ( x )$ is divided by a linear polynomial $g ( x )$. It is known that the coefficient of the cubic term of $f ( x )$ is 3, and the coefficient of the linear term is 2. Student A mistakenly read the coefficient of the cubic term of $f ( x )$ as 2 (other coefficients were read correctly), and Student B mistakenly read the coefficient of the linear term of $f ( x )$ as $- 2$ (other coefficients were read correctly). The remainders calculated by Student A and Student B happen to be the same. Which of the following linear expressions could $g ( x )$ equal? (1) $x$ (2) $x - 1$ (3) $x - 2$ (4) $x + 1$ (5) $x + 2$
& B
9. A student practices calculating the remainder when a cubic polynomial $f ( x )$ is divided by a linear polynomial $g ( x )$. It is known that the coefficient of the cubic term of $f ( x )$ is 3, and the coefficient of the linear term is 2. Student A mistakenly read the coefficient of the cubic term of $f ( x )$ as 2 (other coefficients were read correctly), and Student B mistakenly read the coefficient of the linear term of $f ( x )$ as $- 2$ (other coefficients were read correctly). The remainders calculated by Student A and Student B happen to be the same. Which of the following linear expressions could $g ( x )$ equal?\\
(1) $x$\\
(2) $x - 1$\\
(3) $x - 2$\\
(4) $x + 1$\\
(5) $x + 2$