document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=141073>Question 141073</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please show me how to factor the following polynomial? I need to know this to solve a rational expression:\r<BR>\n" );
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document.write( "x2+2x-5\r<BR>\n" );
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document.write( "Also, I can't seem to be able to solve the following problem, which it's part of the same lesson:\r<BR>\n" );
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document.write( "x+y over x2+2xy+y2 plus 3x over x-y minus 2x+3y over x+y\r<BR>\n" );
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document.write( "Thanks so much for your help,\r<BR>\n" );
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document.write( "Carlos </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102734 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=102734\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x-5+ ALIGN=MIDDLE  ALT=\"x%5E2%2B2x-5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For simpler functions, you can factor them without using the quadratic equation.\r<BR>\n" );
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document.write( "This is not one of those simple one. So use the quadratic equation to find the 2 values for x\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2b+%2B-+sqrt%282b%5E2-4%2A5%2A1+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-2b+%2B-+sqrt%282b%5E2-4%2A5%2A1+%29%29%2F%282%2A1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You solve for both values of x, then the factored form is (x + value1)(x+value2)\r<BR>\n" );
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document.write( "Given:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29%2F%28x%5E2%2B2xy%2By%5E2%29+%2B+3x%2F%28x-y%29+-+%282x%2B3y%29%2F%28x%2By%29+ ALIGN=MIDDLE  ALT=\"%28x%2By%29%2F%28x%5E2%2B2xy%2By%5E2%29+%2B+3x%2F%28x-y%29+-+%282x%2B3y%29%2F%28x%2By%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2By%29%2F%28x+%2B+y%29%5E2+%2B+3x%2F%28x-y%29+-+%282x%2B3y%29%2F%28x%2By%29+ ALIGN=MIDDLE  ALT=\"%28x%2By%29%2F%28x+%2B+y%29%5E2+%2B+3x%2F%28x-y%29+-+%282x%2B3y%29%2F%28x%2By%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28x+%2B+y%29+%2B+3x%2F%28x-y%29+-+%282x%2B3y%29%2F%28x%2By%29+ ALIGN=MIDDLE  ALT=\"1%2F%28x+%2B+y%29+%2B+3x%2F%28x-y%29+-+%282x%2B3y%29%2F%28x%2By%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2F%28x-y%29+-+%282x%2B3y-1%29%2F%28x%2By%29+ ALIGN=MIDDLE  ALT=\"3x%2F%28x-y%29+-+%282x%2B3y-1%29%2F%28x%2By%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Now find a common denominator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283x%29%28x%2By%29+-+%282x%2B3y-1%29%28x-y%29%29%2F%28%28x%2By%29%28x-y%29%29+ ALIGN=MIDDLE  ALT=\"%28%283x%29%28x%2By%29+-+%282x%2B3y-1%29%28x-y%29%29%2F%28%28x%2By%29%28x-y%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283x%29%28x%2By%29+-+%282x%2B3y-1%29%28x-y%29%29%2F%28x%5E2-y%5E2%29+ ALIGN=MIDDLE  ALT=\"%28%283x%29%28x%2By%29+-+%282x%2B3y-1%29%28x-y%29%29%2F%28x%5E2-y%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now expand he terms in the numerator using distribution. Then collect like terms and simplify if you can.\r<BR>\n" );
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document.write( "The rest is left for you </SPAN>\n" );
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