document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=732873>Question 732873</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For y=f(x)x^4-10x^2+9<BR>\n" );
document.write( "list all possible rational zeros of f, use synthetic division to write f in completetely factored form, list the actual zeros </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #448112 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39627)</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=448112\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The function polynomial in expanded form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4%2B0%2Ax%5E3-10x%5E2%2B0%2Ax%2B9 ALIGN=MIDDLE  ALT=\"x%5E4%2B0%2Ax%5E3-10x%5E2%2B0%2Ax%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Testing for -9 and +9 will fail, giving nonzero remainders.\r<BR>\n" );
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document.write( "Test for -3:<BR>\n" );
document.write( "1___0___-10___0___9<BR>\n" );
document.write( "___-3___9____3___-9<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "1___-3___-1___3____0<BR>\n" );
document.write( "ROOT.\r<BR>\n" );
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document.write( "Test for +3:<BR>\n" );
document.write( "1___-3___-1___3<BR>\n" );
document.write( "____3___0___-3<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "1___0___-1___0<BR>\n" );
document.write( "ROOT.\r<BR>\n" );
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document.write( "I won't even check for -1 and +1, since I see from the corresponding quotient from the last test, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-1 ALIGN=MIDDLE  ALT=\"x%5E2-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is difference of two squares, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%28x-1%29%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Roots are +1 and -1.\r<BR>\n" );
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document.write( "Roots found are -3, +3, -1, +1. </SPAN>\n" );
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