document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040816>Question 1040816</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When x^4 +kx^3 +1 is ÷ by x-1 the remainder is 2. Find K.\r<BR>\n" );
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document.write( "Can you show me the steps for finding K? Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655732 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=655732\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using the remainder theorem, the idea is that plugging in x = 1 will lead to a result of 2. We need to find the value of k that makes this happen.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+x%5E4%2Bk%2Ax%5E3%2B1 ALIGN=MIDDLE  ALT=\"f%28x%29+=+x%5E4%2Bk%2Ax%5E3%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%29+=+%281%29%5E4%2Bk%2A%281%29%5E3%2B1 ALIGN=MIDDLE  ALT=\"f%281%29+=+%281%29%5E4%2Bk%2A%281%29%5E3%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace every x with 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%29+=+1%2Bk%2A%281%29%2B1 ALIGN=MIDDLE  ALT=\"f%281%29+=+1%2Bk%2A%281%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%29+=+1%2Bk%2B1 ALIGN=MIDDLE  ALT=\"f%281%29+=+1%2Bk%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+1%2Bk%2B1 ALIGN=MIDDLE  ALT=\"2+=+1%2Bk%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace f(1) with 2. Since we want the remainder to be 2.\r<BR>\n" );
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document.write( "Let's solve for k\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+1%2Bk%2B1 ALIGN=MIDDLE  ALT=\"2+=+1%2Bk%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+k%2B2 ALIGN=MIDDLE  ALT=\"2+=+k%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%2B2+=+2 ALIGN=MIDDLE  ALT=\"k%2B2+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%2B2-2+=+2-2 ALIGN=MIDDLE  ALT=\"k%2B2-2+=+2-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+0 ALIGN=MIDDLE  ALT=\"k+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "So the final answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+=+0 ALIGN=MIDDLE  ALT=\"k+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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