Question

find the remainder when x3+3x2+3x+1 divided by x-1/2​

Answer 1

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Answer 2

Answer:

$\frac{27}{8}$

Step-by-step explanation:

Let p(x) = x³ + 3x² + 3x + 1

$x-\frac{1}{2}=0$  ⇒ $x=\frac{1}{2}$

∴ Remainder

$= (\frac{1}{2} )^{3} + 3 (\frac{1}{2} )^{2} + 3(\frac{1}{2}) + 1\\\\= \frac{1}{8} + \frac{3}{4} +\frac{3}{2}+ 1\\= \frac{27}{8}$

∴ The Remainder is $\frac{27}{8}.$