Question

Find the remainder when x³

+ 3x² + 3x + 1 is divided by x​

Answer 1

$\huge\color{orange}\boxed{\colorbox{black}{\tt{☣ANSWER☣}}}$

$\sf \: by \: remainder \: theorem :$

$\sf \: the \: zero \: of \: x \: is \: \frac{0}{x} = 0$

$\implies \: now \: put \: the \: value$

$\implies {x}^{3} + 3 {x}^{2} + 3x + 1$

$\implies {0}^{3} + 3 {(0)}^{2} + 3(0) + 1$

$\implies0 + 0 + 0 + 1$

$\implies1$