document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=864306>Question 864306</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solving higher polynomials, remainder, factor and rational root theorems:<BR>\n" );
document.write( "Determine the points of intersection of<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E3-1 ALIGN=MIDDLE  ALT=\"y=x%5E3-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%5E2+-2x+-1 ALIGN=MIDDLE  ALT=\"y=-x%5E2+-2x+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I know from graphing that there is one point of intersection but how do I determine it using remainder, factor and rational root theorems? I've tried but keep getting the wrong answer.\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #520897 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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/cgi-bin/show-face.mpl?user=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=520897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=x^3-1 and y=-x^2 -2x -1<BR>\n" );
document.write( "set them equal and solve for x then plug in your x and find y<BR>\n" );
document.write( "x^3-1 =-x^2 -2x -1<BR>\n" );
document.write( "x^3-1+x^2 +2x +1=0<BR>\n" );
document.write( "x^3+x^2+2x =0<BR>\n" );
document.write( "the constant=0 therefore the factor is 0<BR>\n" );
document.write( "factor out x<BR>\n" );
document.write( "x=0 plug in 0 and find y=-1<BR>\n" );
document.write( "one real solution<BR>\n" );
document.write( "x = 0,   y = -1<BR>\n" );
document.write( "x^2+x +2=0<BR>\n" );
document.write( "solve for the two complex solutions\r<BR>\n" );
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