Dựa vào quy tắc phép chia ta có:
$P(x)=Q(x)\times S(x)+R(x)$ hay $P(x)-R(x)=Q(x)\times S(x)$.
Suy ra $Q(x)=[P(x)-R(x)]/S(x)=[3x^{3}-2x^{2}+5)-(3x+3)]/(3x-2)$
$=(3x^{3}-2x^{2}-3x+2)/(3x-2)=x^{2}-1$
Dựa vào quy tắc phép chia ta có:
$P(x)=Q(x)\times S(x)+R(x)$ hay $P(x)-R(x)=Q(x)\times S(x)$.
Suy ra $Q(x)=[P(x)-R(x)]/S(x)=[3x^{3}-2x^{2}+5)-(3x+3)]/(3x-2)$
$=(3x^{3}-2x^{2}-3x+2)/(3x-2)=x^{2}-1$