document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=761868>Question 761868</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the remainder theorem to find the remainder when f(x) is divided by g(x) \r<BR>\n" );
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document.write( " F(x)=x^4+8x^3+12x^2; g(x)=x+1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463541 by </B><A HREF=/tutors/aboutme.mpl?userid=ramkikk66><B>ramkikk66(644)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ramkikk66><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=463541\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given expression F(x)is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4%2B8%2Ax%5E3%2B12%2Ax%5E2 ALIGN=MIDDLE  ALT=\"x%5E4%2B8%2Ax%5E3%2B12%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Remainder theorem - if when a function f(x) is divided by (x-a), the remainder is f(a) - that is, the remainder is the value of the function when you substitute x with a.\r<BR>\n" );
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document.write( "Here we are dividing by g(x) = x + 1. Comparing it with (x-a) form, a = -1.\r<BR>\n" );
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document.write( "So remainder = F(-1) = \r<BR>\n" );
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document.write( "(Putting x = -1 in the expression F(x))\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%29%5E4+%2B+8%2A%28-1%29%5E3+%2B+12%2A%28-1%29%5E2 ALIGN=MIDDLE  ALT=\"%28-1%29%5E4+%2B+8%2A%28-1%29%5E3+%2B+12%2A%28-1%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%2B+8%2A%28-1%29+%2B+12%2A%281%29 ALIGN=MIDDLE  ALT=\"1+%2B+8%2A%28-1%29+%2B+12%2A%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+-+8+%2B+12+=+5 ALIGN=MIDDLE  ALT=\"1+-+8+%2B+12+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Remainder when F(x) is divided by (x+1) is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%285%29 ALIGN=MIDDLE  ALT=\"highlight%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( ":)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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