document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31752>Question 31752</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The question is:<BR>\n" );
document.write( "Find all the real and complex zeros of the polynomial <BR>\n" );
document.write( "x^4+8x^3+16x^2-8x-17\r<BR>\n" );
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document.write( "(A) 4, -4, 1 -2i, 1+2i\r<BR>\n" );
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document.write( "(B) 1 -1, -4 -i, -4+i\r<BR>\n" );
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document.write( "(C) none of these\r<BR>\n" );
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document.write( "(D) 1, -1, -4 -2i, -4+2i\r<BR>\n" );
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document.write( "This is conufusing- thanks for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #18424 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=18424\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I assume you know synthetic division.<BR>\n" );
document.write( "Since the coefficients of the polynomial add up to zero<BR>\n" );
document.write( "\"1\" is a zero of the polynomial.<BR>\n" );
document.write( "Using \"1\" in synthetic division you find a quotient <BR>\n" );
document.write( "of 1 9 25 17<BR>\n" );
document.write( "Using \"-1\" in synthetic division you next get a quotient<BR>\n" );
document.write( "of 1 8 17 or x^2 +8x + 17<BR>\n" );
document.write( "This you can solve with the quadratic formula and find <BR>\n" );
document.write( "zeroes at x= -4+i and -4-i<BR>\n" );
document.write( "So you have zeroes at 1, -1, -4+i, and -4-i<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H. </SPAN>\n" );
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