document.write( "Question 1204167: What is the quotient?
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Algebra.Com's Answer #840236 by ikleyn(52848) $\"\"$ $\"About$

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document.write( "According to the Remainder theorem, the remainder is the value of the polynomial at x = -6\r\n" );
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document.write( "    remainder = 6*(-6)^2 + 31*(-6) - 29 = 1.\r\n" );
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document.write( "Next, make these identical transformations \r\n" );
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document.write( "    6x^2 + 31x - 29 = (6x^2 + 36x) - (5x + 29) = 6x*(x+6) - (5x+30) + 1 = 6x*(x+6) - 5(x+6) + 1 = (6x-5)*(x+6) + 1.\r\n" );
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document.write( "It shows that the quotient is 6x-5 and the remainder is 1.    ANSWER\r\n" );
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