document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=976543>Question 976543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How should I start this problem? \r<BR>\n" );
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document.write( "Find all rational zeros of the polynomial, and then find the irrational zeros, if any. Whenever appropriate, use the Rational Zeros Theorem, the Upper and Lower Bounds Theorem, Descartes' Rule of Signs, the quadratic formula, or other factoring techniques. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.)\r<BR>\n" );
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document.write( "P(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E4+%2B+25x%5E2+%2B+6 ALIGN=MIDDLE  ALT=\"4x%5E4+%2B+25x%5E2+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #598114 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=598114\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You will find among possible rational and real roots, NO real roots.  Try according to synthetic division and rational roots theorem, testing plus and minus of 1,2,3,6, 1/2, 1/4, 3/2,3/4.  None will give zero remainder.\r<BR>\n" );
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document.write( "Solving for x^2 using general solution for quadratic formula, find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=-1%2F4 ALIGN=MIDDLE  ALT=\"x%5E2=-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=-6 ALIGN=MIDDLE  ALT=\"x%5E2=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "From these, continue on to find x values for the four imaginary roots.<BR>\n" );
document.write( "Roots are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28-i%2F2%2C+i%2F2%2C+-i%2Asqrt%286%29%2C+i%2Asqrt%286%29%29 ALIGN=MIDDLE  ALT=\"system%28-i%2F2%2C+i%2F2%2C+-i%2Asqrt%286%29%2C+i%2Asqrt%286%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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