document.write( "Question 1130240: What is the degree of the simplist polynomial with integer coefficents that has sqrt(2), 2 and 2+2i as zeros? \n" ); document.write( "

Algebra.Com's Answer #746908 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "The simplest polynomial (better to say - of the lowest degree polynomial) with integer coefficients \r\n" );
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document.write( "has partial factors\r\n" );
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document.write( "     = ,\r\n" );
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document.write( "    (x-2),     and\r\n" );
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document.write( "     =  = .\r\n" );
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document.write( "The full polynomial is the product of these partial factors and has the degree of 2+1+2 = 5.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Completed, answered, explained and solved.\r
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\n" ); document.write( "\n" ); document.write( "And disproved the solution by the other tutor, which is a mistake.\r
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