document.write( "Question 93701: solve algebraically\r
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document.write( "2x^3-x^2-18x+9=0 \n" );
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Algebra.Com's Answer #68250 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! solve algebraically\r \n" ); document.write( "\n" ); document.write( "2x^3-x^2-18x+9=0 \n" ); document.write( "-------------------------------- \n" ); document.write( "I graphed it to find a zero at x=-3. \n" ); document.write( "---------------- \n" ); document.write( "Using synthetic division find the other zeroes: \n" ); document.write( "-3)....2....-1....-18....9 \n" ); document.write( ".........2....-7.....3...|..0\r \n" ); document.write( "\n" ); document.write( "Remainder = 0 because x=-3 is a zero of the polynomial \n" ); document.write( "Quotient: 2x^2-7x+3 \n" ); document.write( "------------------------- \n" ); document.write( "Factor 2x^2-7x+3 using the AC Method: \n" ); document.write( "2x^2-6x-x+3 =0 \n" ); document.write( "2x(x-3)-(x-3)=0 \n" ); document.write( "(x-3)(2x-1)=0 \n" ); document.write( "x =3 or x=1/2 \n" ); document.write( "------------------ \n" ); document.write( "The zeroes of the orignal equation are \n" ); document.write( "x=-3, x=3, x=1/2 \n" ); document.write( "========================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |