Final answer:
The question asks for the values of b, c, and d when a = 1 to make an expression equivalent to another. The correct values are b = 0, c = 1, and d = 0, which correspond to the r + I when simplified.
Step-by-step explanation:
The question seems to mix up different scenarios, but we'll focus on finding the values of b, c, and d that make a given expression equivalent to another when a = 1. The scenario described in the question does not clearly relate to the values and expressions provided in the referenced information about quadratic equations. Here, we have not been given a specific expression to compare to ar + cI + d, but we are provided with an equation to find the values of b, c, and d. Given that a = 1, the correct values of b, c, and d that would make the expression ar + cI + d equivalent to the simplified form r + I would be b = 0, c = 1, and d = 0, which correspond to option d). The quadratic formula and various examples given relate to solving quadratic equations and are irrelevant to the question. The correct choice is option d) because setting these values will simplify the expression to just r + I, considering a is already given as 1.