Find the sum of the quotient and remainder when 6x3+9x2−17x+11 is divided by 2x2+5x−1.
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\multicolumn2r3x\cline2−52x2+5x−1\multicolumn2r6x3\cline2−4\multicolumn2r0\multicolumn2r\cline3−5\multicolumn2r−36x3+15x2−6x2−6x20+9x2−3x−14x−15xx−17x+11+3+8+11The quotient is 3x−3 and the remainder is x+8 so their sum is 4x+5.