3. Let V = P₂[t] be the space of polynomials in t of degree ≤ 2. Let 01, 02, 03 be the linear functionals on V defined by $1(f(t) = f* f(t) dt, $2(f(t)) = f'(1), ¢s(ƒ(t)) = ƒ(0) where f(t) = ao+a₁t+ a2t² € P2[t] and f' denotes the derivative of f. Find a basis {f1, f2, f3} of P2[t] that is dual to {01, 02, 03}.

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