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Question
Divide the first polynomial by the second polynomial and find the remainder using remainder theorem.
(x2 − 7x + 9) ; (x + 1)
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Solution
Let p(x) = x2 − 7x + 9
Divisor = x + 1
∴ take x = −1
By remainder theorem,
Remainder = p(−1)
= (−1)2 − 7 × (−1) + 9 =
1 + 7 + 9
= 17
∴ Remainder = 17
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