\(x^{2} - 5x + 4\)
in order to factor this trinomial, we look for two numbers that multiply to \(4\) and add up to \(negative~5\)
pairs of numbers that multiply to \(4\) include
\(1,~4\)
and
\(2,~2\)
only the pair of \(negative~1\) and \(negative~4\) add up to \(negative~5\) so we use that pair.
with this we should get
\((x - 1)(x - 4)\)
which means that the two binomials that could potentially be you answer are
\(x - 1\)
and
\(x - 4\)
