Question
Find the remainder when $x^3+3 x^3+3 x+1$ is divided by:
x

Answer

Here,
$f(x)=x^3+3 x^2+3 x+1$
By remainder theorem
$x=0$
substitute the value of $x$ in $f(x)$
$f(0)=0^3+3(0)^2+3(0)+1$
$=0+0+0+1$
$=1$

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