Answer
The given statement is true.
Work Step by Step
Consider an example:
$\left( {{x}^{3}}+2{{x}^{2}}-17x+6 \right)\div \left( x-3 \right)$
In this expression, the dividend is $\left( {{x}^{3}}+2{{x}^{2}}-17x+6 \right)$ and the divisor is $\left( x-3 \right)$.
Hence, the divisor $\left( x-3 \right)$ is in the form of $x-a$ and the coefficient of the variable is 1.
So, it is necessary to perform synthetic division, and the divisor must be of the form of $x-a$.
Therefore, the given statement is true.
