Question

Find the remainder when $x^3+3x^2+3x+1$ is divided by
$x$

Answer 1

Dividing $x^3+3x^2+3x+1$ by $x$

So, $x^3+3x^2+3x+1$ is dividend and $x$ is divisor.

Put, $x=0$

Let $p\left(x\right)=x^3+3x^2+3x+1$

Putting $x=0$

$p\left(0\right)=(0{)}^3+3(0{)}^2+3\left(0\right)+1$

$=0+0+0+1$

$=1$

Thus, reminder of $p\left(0\right)=1$.

$\therefore$ We will get reminder as $1$ when $x^3+3x^2+3x+1$ is divided by $x$.