9) Which of the following describes the roots of the polynomial function f(x) = (x - 2)(x + 1)(x – 5)2 A) -2 with multiplicity 2, 1 with multiplicity 1, and -5 with multiplicity 2
B) -2 with multiplicity 3,-1 with multiplicity 2, and -5 with multiplicity 4
C) 2 with multiplicity 3,-1 with multiplicity 1, and 5 with multiplicity 2
D) 2 with multiplicity 2, 1 with multiplicity 2, and 5 with multiplicity 4

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0