Answer:
[tex]x^{3} -5x^{2} -6x +8 \frac{-2}{x + 3}[/tex]
Step-by-step explanation:
[tex]x^{3} -5x^{2} -6x +8 \frac{-2}{x + 3}[/tex]
x + 3 / [tex]x^{4} - 2x^{3}-21x^{2} -10x +22[/tex]
-([tex]x^{4} + 3x^{3}[/tex])
-[tex]5x^{3} -21x^{2} -10x +22[/tex]
-([tex]-5x^{3} -15x^{2}[/tex])
[tex]-6x^{2} -10x +22[/tex]
-([tex]-6x^{2} -18x[/tex])
8x +22
-(8x + 24)
[tex]\frac{-2}{x + 3}[/tex]
