document.write( "Question 1027286: i need help with this question :Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.\r
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Algebra.Com's Answer #642498 by ikleyn(52799) $\"\"$ $\"About$

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i need help with this question :Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.\r
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document.write( "1. If the polynomial with rational coefficients has the root  ,  it also has the root .\r\n" );
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document.write( "2. If the polynomial with real coefficients has the root 5i, it also has the complex conjugated root  -5i.\r\n" );
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document.write( "3. So, your polynomial must have the roots ,  ,  5i  and  -5i.\r\n" );
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document.write( "4. If so, it must be divisible by the product  =  =  .\r\n" );
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document.write( "5. If you are looking for the polynomial of lowest degree with such properties,\r\n" );
document.write( "   it is exactly THIS polynomial f(x) = .\r\n" );
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