Let B be the basis of P2 consisting of the first three Laguerre polynomials listed in Exercise 28, and let p(t)=7−8t+3t 2. Given this information, which of the following statements is true?
a) The Laguerre polynomial basis is not suitable for representing p(t) since it is not a polynomial.
b) The Laguerre polynomial basis can be used to represent p(t) since it is a polynomial of degree 2.
c) The Laguerre polynomial basis cannot represent p(t) exactly since it consists of only the first three polynomials.
d) The Laguerre polynomial basis perfectly represents p(t) since it consists of the first three polynomials.
