document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176957>Question 176957</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078213479/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the product: (7x+1)(x^2+1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132004 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=132004\">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=%287x%2B1%29%28x%5E2%2B1%29 ALIGN=MIDDLE  ALT=\"%287x%2B1%29%28x%5E2%2B1%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%287x%29%2B1%29%28highlight%28x%5E2%29%2B1%29 ALIGN=MIDDLE  ALT=\"%28highlight%287x%29%2B1%29%28highlight%28x%5E2%29%2B1%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=%287%2Ax%29%2A%28x%5E2%29=7%2Ax%5E3 ALIGN=MIDDLE  ALT=\"%287%2Ax%29%2A%28x%5E2%29=7%2Ax%5E3\"   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%287x%29%2B1%29%28x%5E2%2Bhighlight%281%29%29 ALIGN=MIDDLE  ALT=\"%28highlight%287x%29%2B1%29%28x%5E2%2Bhighlight%281%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=%287%2Ax%29%2A%281%29=7%2Ax ALIGN=MIDDLE  ALT=\"%287%2Ax%29%2A%281%29=7%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=%287x%2Bhighlight%281%29%29%28highlight%28x%5E2%29%2B1%29 ALIGN=MIDDLE  ALT=\"%287x%2Bhighlight%281%29%29%28highlight%28x%5E2%29%2B1%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=%281%29%2A%28x%5E2%29=x%5E2 ALIGN=MIDDLE  ALT=\"%281%29%2A%28x%5E2%29=x%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=%287x%2Bhighlight%281%29%29%28x%5E2%2Bhighlight%281%29%29 ALIGN=MIDDLE  ALT=\"%287x%2Bhighlight%281%29%29%28x%5E2%2Bhighlight%281%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=%281%29%2A%281%29=1 ALIGN=MIDDLE  ALT=\"%281%29%2A%281%29=1\"   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=7%2Ax%5E3%2B7%2Ax%2Bx%5E2%2B1 ALIGN=MIDDLE  ALT=\"7%2Ax%5E3%2B7%2Ax%2Bx%5E2%2B1\"   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=7%2Ax%5E3%2Bx%5E2%2B7%2Ax%2B1 ALIGN=MIDDLE  ALT=\"7%2Ax%5E3%2Bx%5E2%2B7%2Ax%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms in descending degree.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287x%2B1%29%28x%5E2%2B1%29 ALIGN=MIDDLE  ALT=\"%287x%2B1%29%28x%5E2%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOILs to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2Ax%5E3%2Bx%5E2%2B7%2Ax%2B1 ALIGN=MIDDLE  ALT=\"7%2Ax%5E3%2Bx%5E2%2B7%2Ax%2B1\"   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=%287x%2B1%29%28x%5E2%2B1%29=7%2Ax%5E3%2Bx%5E2%2B7%2Ax%2B1 ALIGN=MIDDLE  ALT=\"%287x%2B1%29%28x%5E2%2B1%29=7%2Ax%5E3%2Bx%5E2%2B7%2Ax%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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