document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=263378>Question 263378</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Verify that -2 is a root of the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E3%2Bx%5E2-10x-8=0 ALIGN=MIDDLE  ALT=\"2x%5E3%2Bx%5E2-10x-8=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Find the other two roots, correct to 2 decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194089 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=194089\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> we can use synthetic division to verify. This will generate another equation that we will factor.\r<BR>\n" );
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document.write( "-2 // . . . 2 . . . . 1 . . . . -10 . . . . . -8<BR>\n" );
document.write( " . . . . . . . . . . . . -4 . . . . .6 . . . . . . .8<BR>\n" );
document.write( " . . . . . . . 2 . . . . -3 . . . . -4 . . . // . 0\r<BR>\n" );
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document.write( "So, we have verified by getting a 0 remainder. We now have a new equation of the form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+-+3x+-+4+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+-+3x+-+4+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "By quadratic, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%283+%2B-+sqrt%289-4%2A2%2A%28-4%29%29%29%2F%284%29 ALIGN=MIDDLE  ALT=\"x+=+%283+%2B-+sqrt%289-4%2A2%2A%28-4%29%29%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%283+%2B-+sqrt%2841%29%29%2F%284%29 ALIGN=MIDDLE  ALT=\"x+=+%283+%2B-+sqrt%2841%29%29%2F%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we have two answers and rounded, we get<BR>\n" );
document.write( " x ~ 2.35<BR>\n" );
document.write( "x ~ -0.85 </SPAN>\n" );
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