document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149665>Question 149665</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0536480044/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Can any help me with this problem? I am supposed to use synthetic division to find the quotient and the remainder.\r<BR>\n" );
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document.write( "(x^5+32) divided by (x+2)\r<BR>\n" );
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document.write( "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 #109831 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109831\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> OK, bear with me because the software's a little cumbersome to show synthetic division.<BR>\n" );
document.write( "Hopefully it's clear and straightforward.<BR>\n" );
document.write( "First I'll show the multiplication of the term with the divisor.<BR>\n" );
document.write( "Then the subtraction of the equation and the multiplication term. <BR>\n" );
document.write( "Then carry that sum down to the next multiplication. <BR>\n" );
document.write( "Let's start with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4 ALIGN=MIDDLE  ALT=\"x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > as the first term of the quotient, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4%28x%2B2%29=x%5E5%2B2x%5E4 ALIGN=MIDDLE  ALT=\"x%5E4%28x%2B2%29=x%5E5%2B2x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%5E5%2B32%29-%28x%5E5%2B2x%5E4%29=highlight%28+-2x%5E4%2B32%29 ALIGN=MIDDLE  ALT=\"highlight%28x%5E5%2B32%29-%28x%5E5%2B2x%5E4%29=highlight%28+-2x%5E4%2B32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Next term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E3 ALIGN=MIDDLE  ALT=\"-2x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E3%28x%2B2%29=-2x%5E4-4x%5E3 ALIGN=MIDDLE  ALT=\"-2x%5E3%28x%2B2%29=-2x%5E4-4x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-2x%5E4%2B32%29-%28-2x%5E4-4x%5E3%29=highlight%284x%5E3%2B32%29 ALIGN=MIDDLE  ALT=\"highlight%28-2x%5E4%2B32%29-%28-2x%5E4-4x%5E3%29=highlight%284x%5E3%2B32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2 ALIGN=MIDDLE  ALT=\"4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%28x%2B2%29=4x%5E3%2B8x%5E2 ALIGN=MIDDLE  ALT=\"4x%5E2%28x%2B2%29=4x%5E3%2B8x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284x%5E3%2B32%29-%284x%5E3%2B8x%5E2%29=highlight%28-8x%5E2%2B32%29 ALIGN=MIDDLE  ALT=\"highlight%284x%5E3%2B32%29-%284x%5E3%2B8x%5E2%29=highlight%28-8x%5E2%2B32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8x ALIGN=MIDDLE  ALT=\"-8x\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8x%28x%2B2%29=-8x%5E2-16x ALIGN=MIDDLE  ALT=\"-8x%28x%2B2%29=-8x%5E2-16x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-8x%5E2%2B32%29-%28-8x%5E2-16x%29=highlight%2816x%2B32%29 ALIGN=MIDDLE  ALT=\"highlight%28-8x%5E2%2B32%29-%28-8x%5E2-16x%29=highlight%2816x%2B32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Final term of the quotient is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16 ALIGN=MIDDLE  ALT=\"16\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%28x%2B2%29=16x%2B32 ALIGN=MIDDLE  ALT=\"16%28x%2B2%29=16x%2B32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2816x%2B32%29-%2816x%2B32%29=0 ALIGN=MIDDLE  ALT=\"highlight%2816x%2B32%29-%2816x%2B32%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The remainder is 0.<BR>\n" );
document.write( "The quotient is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E4-2x%5E3%2B4x%5E2-8x%2B16 ALIGN=MIDDLE  ALT=\"x%5E4-2x%5E3%2B4x%5E2-8x%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E5%2B32%29%2F%28x%2B2%29=x%5E4-2x%5E3%2B4x%5E2-8x%2B16 ALIGN=MIDDLE  ALT=\"%28x%5E5%2B32%29%2F%28x%2B2%29=x%5E4-2x%5E3%2B4x%5E2-8x%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );