document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=845491>Question 845491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial function of lowest degree with rational coefficients and the following as some of its zeros.\r<BR>\n" );
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document.write( "A.	–8,   5i\r<BR>\n" );
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document.write( "B.    5,  &#8722; (square root)7,    1 + i<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #509302 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=509302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial function of lowest degree with rational coefficients and the following as some of its zeros. <BR>\n" );
document.write( "A. –8, 5i<BR>\n" );
document.write( "If 5i is a zero and the coefficients must be rational, -5i is also a zero.<BR>\n" );
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document.write( "f(x) = (x+8)(x-5i)(x+5i) = (x+8)(x^2+25)<BR>\n" );
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document.write( "B. 5, &#8722; (square root)7, 1 + i<BR>\n" );
document.write( "Same reason as above::<BR>\n" );
document.write( "f(x) = (x-5)(x+sqrt(7))(x-sqrt(7))((x-1)-i)((x-1)+i)<BR>\n" );
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document.write( "f(x) = (x-5)(x^2-7)((x-1)^2+1)<BR>\n" );
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document.write( "f(x) = (x-5)(x^2-7)(x^2+2x+2)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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