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Question
Find the remainder when x3 + 3x2 + 3x + 1 is divided by x.
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Solution 1
Let p(x) = x3 + 3x2 + 3x + 1
x = 0
∴ Remainder = (0)3 + 3(0)2 + 3(0) + 1
= 1
Therefore, the remainder is 1.
Solution 2
By long division,
Therefore, the remainder is 1.
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