document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156796>Question 1156796</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Task 2: Operations on Integers as Polynomials<BR>\n" );
document.write( "Now that you have explored the similarities between integer multiplication and polynomial multiplication, you will examine the similarities between integer long division and polynomial long division.\r<BR>\n" );
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document.write( "When multiplying the two integers 21 and 12, the following process is used:\r<BR>\n" );
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document.write( "21<BR>\n" );
document.write( "× 12\r<BR>\n" );
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document.write( "Set up the problem.<BR>\n" );
document.write( "21<BR>\n" );
document.write( "× 12<BR>\n" );
document.write( "42\r<BR>\n" );
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document.write( "Multiply the 2 of the 12 by 21.<BR>\n" );
document.write( "21<BR>\n" );
document.write( "× 12<BR>\n" );
document.write( "42<BR>\n" );
document.write( "210\r<BR>\n" );
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document.write( "Place a 0 below the 42, then multiply the 1 of the 12 by 21.<BR>\n" );
document.write( "21<BR>\n" );
document.write( "× 12<BR>\n" );
document.write( "42<BR>\n" );
document.write( "+ 210<BR>\n" );
document.write( "252\r<BR>\n" );
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document.write( "Add 42 and 210 to get the answer: 252.\r<BR>\n" );
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document.write( "Expanding each integer in the expression 21 × 12, the result is [(2 × 101) + (1 × 100)] × [(1 × 101) + (2 × 100)]. Replace the 10s with x’s and then multiply this expression using FOIL. Compare it with the normal integer multiplication method used above: How are they similar? Show your work.\r<BR>\n" );
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document.write( "- i do not understand what they mean to replace the 10s with x's. \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #779552 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39627)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=779552\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ..........................................................<BR>\n" );
document.write( "....., Expanding each integer in the expression 21 × 12, the result is [(2 × 101) + (1 × 100)] × [(1 × 101) + (2 × 100)]. Replace the 10s with x’s and then multiply this expression using FOIL. Compare it with the normal integer multiplication method used above: How are they similar? Show your work.<BR>\n" );
document.write( "- i do not understand what they mean to replace the 10s with x's.<BR>\n" );
document.write( ".........................................................\r<BR>\n" );
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document.write( "Use x in place of 10 to show \"place value\".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2A12 ALIGN=MIDDLE  ALT=\"21%2A12\"   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=%2820%2B1%29%2810%2B2%29 ALIGN=MIDDLE  ALT=\"%2820%2B1%29%2810%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=%282%2A10%2B1%29%281%2A10%2B2%29 ALIGN=MIDDLE  ALT=\"%282%2A10%2B1%29%281%2A10%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Replacing with x,\r<BR>\n" );
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document.write( "and then you can do the intended FOIL multiplication. </SPAN>\n" );
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