document.write( "Question 1201671: Use the given zero to find the remaining zeros of the polynomial function \r
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document.write( "P(x) =2x^3-5x^2+6x-2; 1+i \n" );
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Algebra.Com's Answer #836168 by mananth(16946) You can put this solution on YOUR website! P(x) =2x^3-5x^2+6x-2; 1+i \n" ); document.write( "There have to be three factors\r \n" ); document.write( "\n" ); document.write( "1-i is the conjugate of 1+i is also a root\r \n" ); document.write( "\n" ); document.write( "(x-(1+i))(x-(1-i)) \n" ); document.write( "= x^2-x(1-i)-(1+i)x+1^2-i^2\r \n" ); document.write( "\n" ); document.write( "=x^2 -x +xi -x-xi+1+1\r \n" ); document.write( "\n" ); document.write( "= x^2 -2x +2\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "= 2x-1\r \n" ); document.write( "\n" ); document.write( "2x-1=0 \n" ); document.write( "x=1/2 \n" ); document.write( "The factors are(1+i),(1-i),(1/2)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |