document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=185532>Question 185532</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the polynomials by combining like terms.\r<BR>\n" );
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document.write( "1     1           1<BR>\n" );
document.write( "-x^2- -x^3 +x^2 - -x^3 +17<BR>\n" );
document.write( "6     2           4\r<BR>\n" );
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document.write( "Simplify your answer. Use integers or fractions for any numbers in the expression. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139190 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=139190\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29x%5E2-%281%2F2%29x%5E3%2Bx%5E2-%281%2F4%29x%5E3%2B17 ALIGN=MIDDLE  ALT=\"%281%2F6%29x%5E2-%281%2F2%29x%5E3%2Bx%5E2-%281%2F4%29x%5E3%2B17\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-%281%2F2%29x%5E3-%281%2F4%29x%5E3%29%2B%28%281%2F6%29x%5E2%2Bx%5E2%29%2B17 ALIGN=MIDDLE  ALT=\"%28-%281%2F2%29x%5E3-%281%2F4%29x%5E3%29%2B%28%281%2F6%29x%5E2%2Bx%5E2%29%2B17\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange and group like terms (ie the terms that have the same exponent)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-%282%2F4%29x%5E3-%281%2F4%29x%5E3%29%2B%28%281%2F6%29x%5E2%2Bx%5E2%29%2B17 ALIGN=MIDDLE  ALT=\"%28-%282%2F4%29x%5E3-%281%2F4%29x%5E3%29%2B%28%281%2F6%29x%5E2%2Bx%5E2%29%2B17\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (the coefficient of the first term) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F2 ALIGN=MIDDLE  ALT=\"2%2F2\"   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=%28-%282%2F4%29x%5E3-%281%2F4%29x%5E3%29%2B%28%281%2F6%29x%5E2%2B%286%2F6%29x%5E2%29%2B17 ALIGN=MIDDLE  ALT=\"%28-%282%2F4%29x%5E3-%281%2F4%29x%5E3%29%2B%28%281%2F6%29x%5E2%2B%286%2F6%29x%5E2%29%2B17\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (the coefficient of the fourth term) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F6 ALIGN=MIDDLE  ALT=\"6%2F6\"   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=-%283%2F4%29x%5E3%2B%287%2F6%29x%5E2%2B17 ALIGN=MIDDLE  ALT=\"-%283%2F4%29x%5E3%2B%287%2F6%29x%5E2%2B17\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms by combining the fractional coefficients.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29x%5E2-%281%2F2%29x%5E3%2Bx%5E2-%281%2F4%29x%5E3%2B17 ALIGN=MIDDLE  ALT=\"%281%2F6%29x%5E2-%281%2F2%29x%5E3%2Bx%5E2-%281%2F4%29x%5E3%2B17\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%283%2F4%29x%5E3%2B%287%2F6%29x%5E2%2B17 ALIGN=MIDDLE  ALT=\"-%283%2F4%29x%5E3%2B%287%2F6%29x%5E2%2B17\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F6%29x%5E2-%281%2F2%29x%5E3%2Bx%5E2-%281%2F4%29x%5E3%2B17=-%283%2F4%29x%5E3%2B%287%2F6%29x%5E2%2B17 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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