document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029046>Question 1029046</A>: <I><SPAN STYLE=\"word-break: break-all;\"> n=4;i and 3i are zeros; f(-1)=40\r<BR>\n" );
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document.write( "I can't figure out how to turn it into a polynomial function. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644084 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=644084\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n=4;i and 3i are zeros; f(-1)=40 <BR>\n" );
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document.write( "Since n is 4, -i and -3i must also be zeros.<BR>\n" );
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document.write( "f(x) = a(x-i)(x+i)(x-3i)(x+3i)<BR>\n" );
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document.write( "f(x) = a(x^2+2)(x^2+9)<BR>\n" );
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document.write( "Since f(-1) = 40, let x = -1 , y = 40; solve for \"a\"::<BR>\n" );
document.write( "a*(1+2)(1+9) = 40<BR>\n" );
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document.write( "a = 4/3<BR>\n" );
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document.write( "Now you know what f(x) looks like.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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