document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=134721>Question 134721</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Fundamental Theorem of Algebra<BR>\n" );
document.write( "Use the given zero to find the remaining zeros of each polynomial function.\r<BR>\n" );
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document.write( "P(x)=x^4-6x^3+71x^2-146x+530;  2+7i<BR>\n" );
document.write( "x intercepts = 2+7i & 2-7i<BR>\n" );
document.write( "x=2-7i<BR>\n" );
document.write( "=x-2+7i=0=(x-(2-7i))=0<BR>\n" );
document.write( "(x-(2-7i))(x-(2+7i))=<BR>\n" );
document.write( "x^2-x(2+7i)-x(2-7i)+(2+7i)(2-7i)=<BR>\n" );
document.write( "x^2-2x-7xi-2x+7xi+53=<BR>\n" );
document.write( "x^2-4x+53=<BR>\n" );
document.write( "x^4-6x^3+71x^2-146x+530/x^2-4x+53=<BR>\n" );
document.write( "x^2-2x+10=<BR>\n" );
document.write( "(x^2-4x+53)(x^2-2x+10)<BR>\n" );
document.write( "Now I'm stuck.  Could really use some help<BR>\n" );
document.write( "Thanks so much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98552 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=98552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You've done great work ... and almost all the hard part too.\r<BR>\n" );
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document.write( "In order to be a root, the value of <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-4x%2B53%29%28x%5E2-2x%2B10%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-4x%2B53%29%28x%5E2-2x%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > must be 0 at that point<BR>\n" );
document.write( "In order for a product to be 0, one or both terms must be zero.\r<BR>\n" );
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document.write( "So set <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-2x%2B10%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2-2x%2B10%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and solve using the quadratic equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "You don't need to solve the term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4x%2B53%29 ALIGN=MIDDLE  ALT=\"x%5E2-4x%2B53%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > since you generated that from the two given root.\r<BR>\n" );
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document.write( "Nice work! </SPAN>\n" );
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