Let's simplify the expression and find the value of P(x).
P(x) = -0.005(x+40)(x-20)(x-200)(x+5)
Expanding the expression:
P(x) = -0.005 * (x^2 + 5x - 800)(x^2 + 45x + 200x - 10000)
= -0.005 * (x^2 + 50x - 245x - 10000)
= -0.005 * (x^4 + 495x^3 - 800x^2 + 24500x^3 + 12250x^2 - 200000x - 800x^2 - 400000x + 6400000)
= -0.005 * (x^4 + 495x^3 + 445x^2 - 576400x + 640000 form of P(x) is -0.005x^4 - 2.475x^3 - 2.225x^2 + 2882x - 32000.
