Answer
$\text{True}$
Work Step by Step
The Division Algorithm for polynomials states that when a polynomial $f(x)$ with degree $n$ is divided by a polynomial $(x−a)$ whose degree is $1$, then we get a polynomial with degree $(n−1)$ polynomial $p(x) +\dfrac{ r(x)}{(x−c)}$ and $R(x)=f(a)$.
Therefore, the statement is True.