Final answer:
The y-intercept of the given polynomial is 24.
Step-by-step explanation:
The y-intercept of a polynomial can be found by setting x = 0 and solving for y. In the given polynomial p(x) = 2(x^2 - 4)(x - 3), we can find the y-intercept by plugging in x = 0.
p(0) = 2((0)^2 - 4)((0) - 3) = 2(-4)(-3) = 24
Therefore, the y-intercept of the polynomial is 24.