document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=25461>Question 25461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I cant figure out this algebra 2 thing.   i just dont understand. could you help me........\r<BR>\n" );
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document.write( "Simplify the following expression: 2k2 + 3k - 20 divided by k2 + 3k - 4\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #13682 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=13682\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It's not easy, but if I can do it, anyone can...sometimes I can't do it either.<BR>\n" );
document.write( "take a good hard look at the first one.<BR>\n" );
document.write( "There are lots of things to look for.<BR>\n" );
document.write( "The highest power is 2. That means it's a quadratic equation. <BR>\n" );
document.write( "Maybe it's simple to factor, maybe not<BR>\n" );
document.write( "this is the way I factor these things:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ak%5E2+%2B+3%2Ak+-+20 ALIGN=MIDDLE  ALT=\"2%2Ak%5E2+%2B+3%2Ak+-+20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "what's the simplest factors of the first term?<BR>\n" );
document.write( "They are 2k and k because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ak%5E2+=+%282%2Ak%29+%2A+k ALIGN=MIDDLE  ALT=\"2%2Ak%5E2+=+%282%2Ak%29+%2A+k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now I set up the factors of the equation like this:<BR>\n" );
document.write( "(k + _)(2k - _) <BR>\n" );
document.write( "Now fill in the blanks<BR>\n" );
document.write( "what are the factors of the last term?<BR>\n" );
document.write( "2 x 10 = 20<BR>\n" );
document.write( "4 x 5 = 20<BR>\n" );
document.write( "let's try 2 x 10<BR>\n" );
document.write( "(k + 2)( 2k - 10)<BR>\n" );
document.write( "each term in the first parenthesis gets multiplied by each term in the second<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ak%5E2+%2B+4%2Ak+-10%2Ak+-+20+ ALIGN=MIDDLE  ALT=\"2%2Ak%5E2+%2B+4%2Ak+-10%2Ak+-+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ak%5E2+-6%2Ak+-20 ALIGN=MIDDLE  ALT=\"2%2Ak%5E2+-6%2Ak+-20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so that's not the answer<BR>\n" );
document.write( "Let's swap the 2 and 10<BR>\n" );
document.write( "(k + 10)(2k - 2)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ak%5E2+%2B+20%2Ak+-2%2Ak+-+20+ ALIGN=MIDDLE  ALT=\"2%2Ak%5E2+%2B+20%2Ak+-2%2Ak+-+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ak%5E2+%2B18%2Ak+-20 ALIGN=MIDDLE  ALT=\"2%2Ak%5E2+%2B18%2Ak+-20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "that's not the answer either<BR>\n" );
document.write( "Let's try 4 x 5<BR>\n" );
document.write( "(k + 4)(2k - 5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ak%5E2+%2B+8%2Ak+-5%2Ak+-+20+ ALIGN=MIDDLE  ALT=\"2%2Ak%5E2+%2B+8%2Ak+-5%2Ak+-+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ak%5E2+%2B3%2Ak+-20 ALIGN=MIDDLE  ALT=\"2%2Ak%5E2+%2B3%2Ak+-20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Hey, that's it!<BR>\n" );
document.write( "Let's do the other one<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5E2+%2B+3%2Ak+-+4 ALIGN=MIDDLE  ALT=\"k%5E2+%2B+3%2Ak+-+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the factors of the first term are k and k because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k+%2A+k+=+k%5E2 ALIGN=MIDDLE  ALT=\"k+%2A+k+=+k%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(k + _)(k - _)<BR>\n" );
document.write( "fill in the blanks. What are factors of 4?<BR>\n" );
document.write( "4 x 1 = 4<BR>\n" );
document.write( "2 x 2 = 4<BR>\n" );
document.write( "try 4 and 1<BR>\n" );
document.write( "(k + 4)(k - 1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5E2+%2B4%2Ak+-k+-4 ALIGN=MIDDLE  ALT=\"k%5E2+%2B4%2Ak+-k+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%5E2+%2B3%2Ak+-4 ALIGN=MIDDLE  ALT=\"k%5E2+%2B3%2Ak+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "that's it<BR>\n" );
document.write( "now back to the original equation<BR>\n" );
document.write( "2k2 + 3k - 20 divided by k2 + 3k - 4<BR>\n" );
document.write( "substitute the factors for the equations<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28k+%2B+4%29%2A%282%2Ak+-+5%29%29%2F%28%28k+%2B+4%29%2A%28k+-+1%29%29 ALIGN=MIDDLE  ALT=\"%28%28k+%2B+4%29%2A%282%2Ak+-+5%29%29%2F%28%28k+%2B+4%29%2A%28k+-+1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The (k + 4) factors are on the top and bottom, so they cancel<BR>\n" );
document.write( "I end up with <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Ak+-+5%29%2F%28k+-+1%29 ALIGN=MIDDLE  ALT=\"%282%2Ak+-+5%29%2F%28k+-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I think that's as simple as I can get it<BR>\n" );
document.write( "Don't be afraid of this stuff. The more you do the easier it gets<BR>\n" );
document.write( "It doesn't take a genius- just work. </SPAN>\n" );
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