document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198758>Question 198758</A>: <I><SPAN STYLE=\"word-break: break-all;\"> multiply this polynoimials<BR>\n" );
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document.write( "(3x + 4) (5x - 9)<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 #149260 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=149260\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B4%29%285x-9%29 ALIGN=MIDDLE  ALT=\"%283x%2B4%29%285x-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "Now let's FOIL the expression.\r<BR>\n" );
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document.write( "Remember, when you FOIL an expression, you follow this procedure:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight%283x%29%2B4%29%28highlight%285x%29-9%29 ALIGN=MIDDLE  ALT=\"%28highlight%283x%29%2B4%29%28highlight%285x%29-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">F</font>irst terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Ax%29%2A%285%2Ax%29=15%2Ax%5E2 ALIGN=MIDDLE  ALT=\"%283%2Ax%29%2A%285%2Ax%29=15%2Ax%5E2\"   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=%28highlight%283x%29%2B4%29%285x%2Bhighlight%28-9%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%283x%29%2B4%29%285x%2Bhighlight%28-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">O</font>uter terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Ax%29%2A%28-9%29=-27%2Ax ALIGN=MIDDLE  ALT=\"%283%2Ax%29%2A%28-9%29=-27%2Ax\"   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=%283x%2Bhighlight%284%29%29%28highlight%285x%29-9%29 ALIGN=MIDDLE  ALT=\"%283x%2Bhighlight%284%29%29%28highlight%285x%29-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">I</font>nner terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%29%2A%285%2Ax%29=20%2Ax ALIGN=MIDDLE  ALT=\"%284%29%2A%285%2Ax%29=20%2Ax\"   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=%283x%2Bhighlight%284%29%29%285x%2Bhighlight%28-9%29%29 ALIGN=MIDDLE  ALT=\"%283x%2Bhighlight%284%29%29%285x%2Bhighlight%28-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the <font color=\"red\">L</font>ast terms:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%29%2A%28-9%29=-36 ALIGN=MIDDLE  ALT=\"%284%29%2A%28-9%29=-36\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So we have the terms: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2Ax%5E2 ALIGN=MIDDLE  ALT=\"15%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-27%2Ax ALIGN=MIDDLE  ALT=\"-27%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2Ax ALIGN=MIDDLE  ALT=\"20%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-36 ALIGN=MIDDLE  ALT=\"-36\"   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=15%2Ax%5E2-27%2Ax%2B20%2Ax-36 ALIGN=MIDDLE  ALT=\"15%2Ax%5E2-27%2Ax%2B20%2Ax-36\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now add every term listed above to make a single expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2Ax%5E2-7%2Ax-36 ALIGN=MIDDLE  ALT=\"15%2Ax%5E2-7%2Ax-36\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now combine like terms.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B4%29%285x-9%29 ALIGN=MIDDLE  ALT=\"%283x%2B4%29%285x-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2Ax%5E2-7%2Ax-36 ALIGN=MIDDLE  ALT=\"15%2Ax%5E2-7%2Ax-36\"   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=%283x%2B4%29%285x-9%29=15%2Ax%5E2-7%2Ax-36 ALIGN=MIDDLE  ALT=\"%283x%2B4%29%285x-9%29=15%2Ax%5E2-7%2Ax-36\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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