document.write( "Question 176936: I am searching for a polynomial function of 'f' of least degree that has rational cooeficients, a leading coefficient of 1, and the given zeros.\r
\n" ); document.write( "\n" ); document.write( "3i, 2 - i\r
\n" ); document.write( "\n" ); document.write( "Your assistance will be greatly appreciated. \n" ); document.write( "

Algebra.Com's Answer #132010 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
a polynomial function of 'f' of least degree that has rational cooeficients, a leading coefficient of 1, and the given zeros.
\n" ); document.write( "3i, 2 - i
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\n" ); document.write( "To have rational coefficients -3i and 2+i must also be zeros.
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\n" ); document.write( "f(x) = (x-3i)(x+3i)(x-(2-i))(x-(2+i))\r
\n" ); document.write( "\n" ); document.write( "f(x) = (x^2+9)((x-2)+i)((x-2)-i)\r
\n" ); document.write( "\n" ); document.write( "f(x) = (x^2+9)((x-2)^2 + 1)\r
\n" ); document.write( "\n" ); document.write( "f(x) = (x^2+9)(x^2-2x+5)\r
\n" ); document.write( "\n" ); document.write( "I'll leave the rest to you.
\n" ); document.write( "The degreewill be \"4\" when you are finished.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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