Let f(p) = 6p3 - p2 - 47p + 30 Then by the remainder theorem, (p - 3): f(3) = remainder R, i.e. f(3) = 6(3)3 - (3)2 - 47(3) + 30 = R 162 - 9 - 141 + 30 = R 192 - 150 = R R = 42