The remainder when 6p3 - p2 - 47p 30 is divided... - JAMB Mathematics 2013 Question
The remainder when 6p3 - p2 - 47p + 30 is divided by p - 3 is
A
21
B
42
C
63
D
18
correct option: b
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
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
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