Let f(x) = ax2 + bx + c, where a, b, and c are elements of the field F. Let d EF. Let a2, ai, and ao be the coefficients of the powers of x -- d in the representation f(x) = a2(x d)2 + ai(x d) + ao. Find expressions which give a2, Q1, and ao in terms of a, b, c, and d. Show directly that Theorem 9-3.5 is true in this case. THEOREM 93.5. Let cEF, where F is a field. Then every nonzero polynomial f(x) can be uniquely represented in the form f(x) = an(x c)" + an-16.x c)n-1 + ... tao, where n = Deg [f(x)] and an, an1, ..., do are elements of F.