document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=384541>Question 384541</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an nth degree polynomial function with real coefficients satisfying the given conditions. n=3;-4 and i are zeros;f(-3)=60 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #272212 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=272212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an nth degree polynomial function with real coefficients satisfying the given conditions. n=3;-4 and i are zeros;f(-3)=60<BR>\n" );
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document.write( "Comment: -i is also a zero.<BR>\n" );
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document.write( "f(x) = a(x-3)(x+4)(x-i)(x+i)<BR>\n" );
document.write( "f(x) = a(x-3)(x+4)(x^2+1)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Since f(-3) = 60<BR>\n" );
document.write( "60 = a(-6)(1)(10)<BR>\n" );
document.write( "60 = a(-60)<BR>\n" );
document.write( "a = -1<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "f(x) = -(x-3)(x+4)(x^2+1)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===========<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );