Answer
The numbers $-27$ and $-19$ are negative, and they should be both positive, so the factorization is incorrect.
(If both were positive, $+27$ and $+19$, then it would be correct)
Work Step by Step
If the trinomial $ax^{2}+bx+c$ can be factored, it will be in the form $(x+n)(x+m)$, where
the product of integers n and m is $c$
their sum is $b.$
So if c is positive, both n and m have the same sign.
If c is negative, n and m have different signs.
Here, c is positive, so both n and m have the same sign.
And, since b is positive, this sign must be "$+$" for both n and m.
The numbers $-27$ and $-19$ are negative, and they should be both positive,
so the factorization is incorrect.
(If both were positive, $+27$ and $+19$, then it would be correct)
