Final answer:
The claim about a fourth-degree polynomial having exactly two relative minima and two relative maxima is false, as the maximum number of relative extrema for a polynomial of degree n is n-1.
Step-by-step explanation:
The statement that a fourth-degree polynomial has exactly two relative minima and two relative maxima is false. For any polynomial of degree n, the number of relative extrema (which includes both minima and maxima) can be at most n-1. Therefore, a fourth-degree polynomial, which is described by a function of form f(x) = ax⁴ + bx³ + cx² + dx + e, can have up to three relative extrema. It can have two relative minima and one relative maximum, or two relative maxima and one relative minimum, but having two of each would exceed the maximum number of extrema for a fourth-degree polynomial.