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

Answer

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

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free