document.write( "Question 1196595: I need to know what the polynomial of 2,1-i,2-√3 is in standard form it has a leading coefficient of 1. \n" ); document.write( "
Algebra.Com's Answer #829501 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "given roots:\r
\n" ); document.write( "\n" ); document.write( "\"x%5B1%5D=2\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B2%5D=1-i\" -> complex roots always come in pairs, you also have \"x%5B3%5D=1%2Bi\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5B4%5D=2-sqrt%283%29\"\r
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\n" ); document.write( "\n" ); document.write( "so, we have 4th degree polynomial\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29%28x-x%5B4%5D%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x-2%29%28x-%281-i%29%29%28x-%281%2Bi%29%29%28x-%282-sqrt%283%29%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"f%28x%29=%28x-2%29%28x-1%2Bi%29%28x-1-i%29%28x-2%2Bsqrt%283%29%29\"..........multiply all and you will get\r
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