The first four Laguerre polynomials are 1, 1minust, 2minus4tplust squared, and 6minus18tplus9t squaredminust cubed. Show that these polynomials form a basis of set of prime numbers P 3. To show that these polynomials form a basis of set of prime numbers P 3, what theorem should be used? A. Let V be a p-dimensional vector space, pgreater than or equals1. Any linearly independent set of exactly p elements in V is automatically a basis for V. B. If a vector space V has a basis of n vectors, then every basis of V must consist of exactly n vectors. C. Let H be a subspace of a finite-dimensional vector space V. Any linearly independent set in H can be expanded, if necessary, to a basis for H. D. If a vector space V has a basis Upper BequalsStartSet Bold b 1 comma . . . comma Bold b Subscript n EndSet, then any set in V containing more than n vectors must be linearly dependent.