document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1129264>Question 1129264</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an nth-degree polynomial function with real coefficients satisfying the given conditions. \r<BR>\n" );
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document.write( "N=3<BR>\n" );
document.write( "-4 and 8+2 are zeros<BR>\n" );
document.write( "F(2)=240 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #745826 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=745826\">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. <BR>\n" );
document.write( "N=3<BR>\n" );
document.write( "-4 and 8+2i are zeros<BR>\n" );
document.write( "F(2)=240<BR>\n" );
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document.write( "8-2i must also be a zero<BR>\n" );
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document.write( "F(x) = a(x+4)(x-8-2i)(x-8+2i)<BR>\n" );
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document.write( "F(x) = a(x+4)[(x-8)^2-(2i)^2]<BR>\n" );
document.write( "F(x) = a(x+4)[x^2-16x+64+4]<BR>\n" );
document.write( "F(x) = a(x+4)[x^2-16x+68]<BR>\n" );
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document.write( "Solve for \"a\" using F(2) = 240<BR>\n" );
document.write( "240 = a(2+4)(4-64+68)<BR>\n" );
document.write( "240 = a*6*8<BR>\n" );
document.write( "a = 240/48 <BR>\n" );
document.write( "a = 5<BR>\n" );
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document.write( "Ans:: F(x) = 5(x+4)(x^2-16x+68)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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