Answer
Quotient: $-3x^{3}-3x^{2}-3x-5$
Remainder: $-6$
Work Step by Step
$\space$$\space$$\space$$\space$$\space$$\space$$\space$$\space$$\space$ ${-3x^{3}-3x^{2}-3x-5}$
$x-1$$\space)\overline{-3x^{4}+0x^{3}+0x^{2}-2x-1}$
$\space\space\space\space\space\space\space\space\space\space\space\space\underline{-3x^{4}+3x^{3}}$
$\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space-3x^{3}+0x^{2}$
$\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\underline{-3x^{3}+3x^{2}}$
$\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space-3x^{2}-2x$
$\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\underline{-3x^2+3x}$
$\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space-5x-1$
$\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\underline{-5x+5}$
$\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space-6$
Check answer:
$(-3x^3-3x^2-3x-5)\cdot(x-1)-6$
$-3x^4+3x^3-3x^3+3x^2-3x^2+3x-5x+5-6$
$-3x^{4}-2x-1\checkmark$
