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