Final answer:
The y-intercept of the polynomial Q(x) = (x - 2)^9(x - 3)^8(x - 4)^2 is 2,073,600.
Step-by-step explanation:
The given polynomial is Q(x) = (x - 2)9(x - 3)8(x - 4)2.
The y-intercept of a polynomial can be found by setting x = 0 and evaluating the polynomial. So, substitute x = 0 in the given polynomial:
Q(0) = (0 - 2)9(0 - 3)8(0 - 4)2
Q(0) = (-2)9(-3)8(-4)2
Q(0) = 293842
Q(0) = 2,073,600
Therefore, the y-intercept of the polynomial Q(x) is 2,073,600.