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The remainder when 6p3 – p2 – 47p + 30 is divided by p -…

The remainder when 6p3 – p2 – 47p + 30 is divided by p – 3 is
  • A.
    21
  • B.
    42
  • C.
    63
  • D.
    18
Correct Answer: Option B
Explanation

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

There is an explanation video available below.

Explanation Video

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