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Question
Find the remainder when x3 + 3x2 + 3x + 1 is divided by `x - 1/2`
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Solution 1
Let p(x) = x3 + 3x2 + 3x + 1
`x-1/2 = 0 ⇒ x = 1/2`
`therefore "Remainder "= (1/2)^3 + 3(1/2)^2 + 3(1/2) + 1`
`= 1/8 +3/4+3/2+1`
`= 27/8`
Therefore, the remainder is `27/8" ."`
Solution 2
By long division,
Therefore, the remainder is `27/8" ."`
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