Consider the vector space p2 of all polynomials of degree at most 2. find all real numbers a such that t^2 −at + 1−a^2 is in the span of t^2 −2t + 1, t−1 and 3t^2 −2t−1.
a. a can be any real number.
b. a = ±2.
c. a = −1 or a = 2.
d. a = −2 or a = 1.
e. a = 0.