- [Maximum mark: 6]
A biologist believes that there is a relationship between the possible population size of a group of birds (p thousand) and the population of a colony of wasps (w thousand). Based on her research she believes that the relationship is w = p³ − 4p² + 3p.
(a) When w = 0, find the possible values of p. [2]
(b) Determine the positive values of w for which there is only one positive value of p. [4]