document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148099>Question 148099</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor: x^2+3x+2 and 72-22x+x2 <BR>\n" );
document.write( "I dont really understand how to factor it. Could someone maybe please explain it to me? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108492 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=108492\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I will explain. whenever the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > term has a coefficient of 1, you start with (x   )(x   ).\r<BR>\n" );
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document.write( "in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B3x%2B2 ALIGN=MIDDLE  ALT=\"x%5E2%2B3x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, everything is positive, so add two addition signs.\r<BR>\n" );
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document.write( "(x+  )(x+  ).\r<BR>\n" );
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document.write( "Then, find the factors of 2 that add up to 3.  That would be 2 and 1.  Put them in there.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. You're done.\r<BR>\n" );
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document.write( "In <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72-22x%2Bx2 ALIGN=MIDDLE  ALT=\"72-22x%2Bx2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, first reorder it to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-22x%2B72 ALIGN=MIDDLE  ALT=\"x%5E2-22x%2B72\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Then you start with \r<BR>\n" );
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document.write( "(x   )(x   ).\r<BR>\n" );
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document.write( "everything is not positive, only the first and last, so you add two subtraction signs.\r<BR>\n" );
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document.write( "(x-  )(x-  ).\r<BR>\n" );
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document.write( "Then find the two factors of 72 that would add up to 22. That would be 18 and 4. So put them in there.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-4%29%28x-18%29 ALIGN=MIDDLE  ALT=\"%28x-4%29%28x-18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. You're done.\r<BR>\n" );
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document.write( "If you want to check them, I would just use the acronym I came up with called SAM.  That stands for Squared, Add, Multiply. And it's easy to remember, especially if your name is Sam.  Anyway, here's how it works:\r<BR>\n" );
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document.write( "Start with:<BR>\n" );
document.write( "(x+2)(x+1) and (x-4)(x-18)\r<BR>\n" );
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document.write( "Then do your SQUARED terms:<BR>\n" );
document.write( "(x+2)(x+1) and   (x-4)(x-18)<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >     and      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then ADD your other two numbers (keeping in mind the negatives) and attach the variable:\r<BR>\n" );
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document.write( "(x+2)(x+1)  and  (x-4)(x-18)<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B3x ALIGN=MIDDLE  ALT=\"x%5E2%2B3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >    and    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-22x ALIGN=MIDDLE  ALT=\"x%5E2-22x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then MULTIPLY the last two numbers (keeping in mind the negatives):\r<BR>\n" );
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document.write( "(x+2)(x+1)  and  (x-4)(x-18)<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B3x%2B2 ALIGN=MIDDLE  ALT=\"x%5E2%2B3x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >   and    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-22x%2B72 ALIGN=MIDDLE  ALT=\"x%5E2-22x%2B72\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So now you know how to factor it and how to check your answer!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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