just make the trinomial easier to factor.
ex -x2 + 3x + 4 ... most books don't teach you how to factor when a leading term is negative. ... so -1(x2- 3x- 4) ... now factor again ignoring the -1
-1(x - 4)(x + 1)
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just like factoring any other trinomial.
It's not enough to copy the question off the test. If you don't tell us what the trinomial is, we can't factor it for you.
(t - 15)(t + 3)
That's not a trinomial, but it factors to x(x + 19)
x2-7x-44 (x-11)(x+4)