Answer:
Zeroes: x=4, x=-1/2, and x=6
Step-by-step explanation:
Use Synthetic Division where x-4=0 to find another factor:
4 | 2 -19 +38 +24
___8_-44_-24
2 -11 -6 | 0
So far, your two factors are x-4 and 2x^2-11x-6.
We can actually factor 2x^2-11x-6 into (2x+1)(x-6), so we have three factors which are (x-4), (2x+1), and (x-6)!
By the Zero Product Property, x=4, x=-1/2, and x=6 are your zeroes.
