What is the quotient when 8x3+16x2−7x+4 is divided by 2x+5?
Solution — click to reveal
Using long division, \multicolumn2r4x2\cline2−52x+5\multicolumn2r−8x3\cline2−3\multicolumn2r0\multicolumn2r\cline3−4\multicolumn2r\multicolumn2r\cline4−5\multicolumn2r−2x8x3−20x2−4x2+4x20+3/2+16x2−7x+10x+3x−3x−7x+4−15/2−7/2+4So the quotient is 4x2−2x+23.