$(x+3)$ is a factor of $p\left(x\right)$, if $p$( )$=0$.

Check whether $p\left(x\right)$ is a multiple of $g\left(x\right)$ or not.

$p\left(x\right)=x^3-5x^2+4x-3; g\left(x\right)=x-2$

By remainder theorem, find the remainder when, $p\left(x\right)$ is divided by $g\left(x\right)$ where,

$p\left(x\right)=x^3-2x^2-4x-1; g\left(x\right)=x+1$

By remainder theorem, find the remainder when, $p\left(x\right)$ is divided by $g\left(x\right)$ where,

$p\left(x\right)=4x^3-12x^2+14x-3; g\left(x\right)=2x-1$

By remainder theorem, find the remainder when $p\left(x\right)$ is divided by $g\left(x\right)$ where,

$p\left(x\right)=x^3-3x^2+4x+50; g\left(x\right)=x-3$.