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Question
Divide the first polynomial by the second polynomial and find the remainder using remainder theorem.
(54m3 + 18m2 − 27m + 5) ; (m − 3)
Solution
p(x) = 54m3 + 18m2 − 27m + 5
Divisor = m − 3
∴ take m = 3
By remainder theorem,
Remainder = p(3)
54 × (3)3 + 18 × (3)3 − 27 × 3 + 5
= 54 × 27 + 18 × 9 − 27 × 3 + 5
= 1458 + 162 - 81 + 5
= 1544
∴ Remainder = 1544
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