document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148487>Question 148487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following represents the product of 3 less than twice x and 2 more than the quanity 3 times x?<BR>\n" );
document.write( "a. -6x^2+25x+6<BR>\n" );
document.write( "b. 6x^2+5x+6<BR>\n" );
document.write( "c. 6x^2-5x+6<BR>\n" );
document.write( "d. 6x^2-5x-6<BR>\n" );
document.write( "e. 6x^2-13x-6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108810 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=108810\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The expression \"the product of 3 less than twice x and 2 more than the quanity 3 times x\" translates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-3%29%283x%2B2%29 ALIGN=MIDDLE  ALT=\"%282x-3%29%283x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So we need to expand <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-3%29%283x%2B2%29 ALIGN=MIDDLE  ALT=\"%282x-3%29%283x%2B2%29\"   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=%282x-3%29%283x%2B2%29 ALIGN=MIDDLE  ALT=\"%282x-3%29%283x%2B2%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%282x%29-3%29%28highlight%283x%29%2B2%29 ALIGN=MIDDLE  ALT=\"%28highlight%282x%29-3%29%28highlight%283x%29%2B2%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=%282%2Ax%29%2A%283%2Ax%29=6%2Ax%5E2 ALIGN=MIDDLE  ALT=\"%282%2Ax%29%2A%283%2Ax%29=6%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%282x%29-3%29%283x%2Bhighlight%282%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%282x%29-3%29%283x%2Bhighlight%282%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=%282%2Ax%29%2A%282%29=4%2Ax ALIGN=MIDDLE  ALT=\"%282%2Ax%29%2A%282%29=4%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=%282x%2Bhighlight%28-3%29%29%28highlight%283x%29%2B2%29 ALIGN=MIDDLE  ALT=\"%282x%2Bhighlight%28-3%29%29%28highlight%283x%29%2B2%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=%28-3%29%2A%283%2Ax%29=-9%2Ax ALIGN=MIDDLE  ALT=\"%28-3%29%2A%283%2Ax%29=-9%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=%282x%2Bhighlight%28-3%29%29%283x%2Bhighlight%282%29%29 ALIGN=MIDDLE  ALT=\"%282x%2Bhighlight%28-3%29%29%283x%2Bhighlight%282%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=%28-3%29%2A%282%29=-6 ALIGN=MIDDLE  ALT=\"%28-3%29%2A%282%29=-6\"   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=6%2Ax%5E2%2B4%2Ax-9%2Ax-6 ALIGN=MIDDLE  ALT=\"6%2Ax%5E2%2B4%2Ax-9%2Ax-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now collect every term 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=6%2Ax%5E2-5%2Ax-6 ALIGN=MIDDLE  ALT=\"6%2Ax%5E2-5%2Ax-6\"   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=%282x-3%29%283x%2B2%29 ALIGN=MIDDLE  ALT=\"%282x-3%29%283x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILS to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Ax%5E2-5%2Ax-6 ALIGN=MIDDLE  ALT=\"6%2Ax%5E2-5%2Ax-6\"   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=%282x-3%29%283x%2B2%29=6%2Ax%5E2-5%2Ax-6 ALIGN=MIDDLE  ALT=\"%282x-3%29%283x%2B2%29=6%2Ax%5E2-5%2Ax-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So this means that the answer is choice d) </SPAN>\n" );
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