document.write( "Question 1057047: Find a polynomial equation with real coefficients that has
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document.write( "the roots of -5, 2+i \n" );
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Algebra.Com's Answer #672140 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Find a polynomial equation with real coefficients that has the roots of -5, 2+i \n" ); document.write( "~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The polynomial is p(x) = (x-(-5))*(x-(2+i))*(x-(2-i)) = (x+5)((x-2)-i)*((x-2)+i) = (x+5)*((x-2)^2+1) = (x+5)*(x^2 -4x + 5).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The polynomial equation is p(x) = 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |