Final answer:
The binomial that is a factor of the trinomial x²+3x-4 is x-4.
Step-by-step explanation:
The trinomial x²+3x-4 can be factored into two binomials. To find which binomial is a factor, we can use the factoring process. Since the trinomial has a constant term of -4, we need to look for a binomial where the constant term multiplied by the coefficient of x adds up to 3. In this case, the binomial x-4 satisfies this condition and is therefore a factor of the original trinomial.
Learn more about Factoring Trinomials