The trinomial x2 – 3x – 4 is represented by the model.

what are the factors of the trinomial?
(x + 1) and (x – 4)
(x + 4) and (x – 1)
(x + 5) and (x – 4)

(x + 4) and (x – 5)

In order to factor something like this outside of using the quadratic formula, you have to figure out what 2 numbers will add up to equal -3 and at the same time multiply to equal -4. Those 2 numbers are -4 and +1. Therefore, the factors of that quadratic are (x - 4)(x + 1). That's your first choice above.

step-by-step explanation: