document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62442>Question 62442</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help w/ the following:<BR>\n" );
document.write( "Find all the real and complex zeros of the polynomial x^4+8x^3+8x^2-72x-153.<BR>\n" );
document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43194 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=43194\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all the real and complex zeros of the polynomial x^4+8x^3+8x^2-72x-153.<BR>\n" );
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document.write( "Graphing I find that x=3 and x=-3 are zeroes.<BR>\n" );
document.write( "Dividing the polynomial by x^2-9 I find the <BR>\n" );
document.write( "quotient is x^2+8x+17.<BR>\n" );
document.write( "Using the quadratic formula I get:<BR>\n" );
document.write( "x=[-8+-sqrt(64-4(17)]/2<BR>\n" );
document.write( "x=[-8+-sqrt(-4)]/2<BR>\n" );
document.write( "x=[-4+-i]<BR>\n" );
document.write( "Real zeros are x=3 and x=-3<BR>\n" );
document.write( "Complex zeros are x=-4+i and x=-4-i<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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