  In a recent paper \cite{Jan}, Jankauskas proved some interesting results
concerning the reducibility of quadrinomials of the form $f(4,x)$, where
$f(a,x)=x^{n}+x^{m}+x^{k}+a$. He also obtained some examples of reducible
quadrinomials $f(a,x)$ with $a\in\Z$, such that all the irreducible factors of
$f(a,x)$ are of degree $\geq 3$.
  In this paper we perform a more systematic approach to the problem and ask
about reducibility of $f(a,x)$ with $a\in\Q$. In particular by computing the
set of rational points on some genus two curves we characterize in several
cases all quadrinomials $f(a,x)$ with degree $\leq 6$ and divisible by a
quadratic polynomial. We also give further examples of reducible $f(a,x)$,
$a\in\Q$, such that all irreducible factors are of degree $\geq 3$.
