document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=909077>Question 909077</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+x%5E3+%2B6x%5E2+%2B+kx+-4+ ALIGN=MIDDLE  ALT=\"f%28x%29+=+x%5E3+%2B6x%5E2+%2B+kx+-4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For what value of k will it have the same remainder when it is divided by both x - 1 and x + 2?\r<BR>\n" );
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document.write( "My attempt:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%29%5E3+%2B6%281%292+%2B+k%281%29+-+4+=+%28-2%29%5E3+%2B6%28-2%29%5E2+%2B+k%28-2%29+-4 ALIGN=MIDDLE  ALT=\"%281%29%5E3+%2B6%281%292+%2B+k%281%29+-+4+=+%28-2%29%5E3+%2B6%28-2%29%5E2+%2B+k%28-2%29+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+%2B+k+=+12+-+2k+ ALIGN=MIDDLE  ALT=\"+3+%2B+k+=+12+-+2k+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+%2B+k+=+-2k ALIGN=MIDDLE  ALT=\"9+%2B+k+=+-2k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+=+-1k ALIGN=MIDDLE  ALT=\"9+=+-1k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+k+=+-9 ALIGN=MIDDLE  ALT=\"+k+=+-9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Apparently that's not the right answer. \r<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 #551562 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=551562\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the answer is k = 3.\r<BR>\n" );
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document.write( "I used synthetic division to sollve for the remaindder.\r<BR>\n" );
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document.write( "the details of the arithmetic are shown below.<BR>\n" );
document.write( "look below the details for further comments.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2014/100305.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "step 1:\r<BR>\n" );
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document.write( "for factor of (x-1), use synthetic division by 1.\r<BR>\n" );
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document.write( "step 2:\r<BR>\n" );
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document.write( "for factor of (x+2), use synthetic division by -2.\r<BR>\n" );
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document.write( "setp 3:\r<BR>\n" );
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document.write( "set remainder from step 1 equal to remainder from step 2 and solve for k.\r<BR>\n" );
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