document.write( "Question 819497: Write a third degree polynomial function y=P(x) with rational coefficients so that P(x)=0 has the given roots.\r
\n" ); document.write( "\n" ); document.write( "1, 2-i\r
\n" ); document.write( "\n" ); document.write( "3, 6+i\r
\n" ); document.write( "\n" ); document.write( "3i, 7\r
\n" ); document.write( "\n" ); document.write( "1, 5i\r
\n" ); document.write( "\n" ); document.write( "3, -4i \n" ); document.write( "
Algebra.Com's Answer #493130 by stanbon(75887)\"\" \"About 
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Write a third degree polynomial function y=P(x) with rational coefficients so that P(x)=0 has the given roots.
\n" ); document.write( "1, 2-i and 2+i
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\n" ); document.write( "P(x) = (x-1)(x-2+i)(x-2-i)
\n" ); document.write( "----
\n" ); document.write( "= (x-1)[(x-2)+i)(x-2)-i)]
\n" ); document.write( "----
\n" ); document.write( "= (x-1)[(x-2)^2+1]
\n" ); document.write( "----
\n" ); document.write( "= (x-1)(x^2-4x+5)
\n" ); document.write( "----
\n" ); document.write( "= x^3 - 5x^2 + 9x -5
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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\n" ); document.write( "3, 6+i
\n" ); document.write( "3i, 7
\n" ); document.write( "1, 5i
\n" ); document.write( "3, -4i
\n" ); document.write( " \n" ); document.write( "
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