Find the quotient of the division (3z4−4z3+5z2−11z+2)/(2+3z).
Solution — click to reveal
\multicolumn2rz3\cline2−63z+2\multicolumn2r3z4\cline2−3\multicolumn2r0\multicolumn2r\cline3−4\multicolumn2r\multicolumn2r\cline4−5\multicolumn2r\multicolumn2r\cline5−6\multicolumn2r−2z23z4+2z3−6z3−6z30+3z−4z3+5z2−4z29z29z20−317+5z2−11z+6z−17z−17z0−11z+2−334+340+2So the quotient is z3−2z2+3z−317.