document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110815>Question 110815</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please show me how to do this. Thank you in advance for your help.\r<BR>\n" );
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document.write( "Factor completely:<BR>\n" );
document.write( "x3 – 26x2 + 48x<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80799 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=80799\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3 ALIGN=MIDDLE  ALT=\"x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >–<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2Ax%5E2 ALIGN=MIDDLE  ALT=\"26%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >+ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2Ax ALIGN=MIDDLE  ALT=\"48%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" >……….factor out common factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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=x%28+x%5E2+-+26x+%2B+48%29 ALIGN=MIDDLE  ALT=\"x%28+x%5E2+-+26x+%2B+48%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >………now replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+26x ALIGN=MIDDLE  ALT=\"-+26x\"   DISABLED_style= \"max-width:90%; height:auto;\" >  with the two numbers that multiply to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48 ALIGN=MIDDLE  ALT=\"48\"   DISABLED_style= \"max-width:90%; height:auto;\" > and add to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-26 ALIGN=MIDDLE  ALT=\"-26\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which are: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-24 ALIGN=MIDDLE  ALT=\"-24\"   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=x%28+x%5E2+-+2x+-+24x+%2B+48%29 ALIGN=MIDDLE  ALT=\"x%28+x%5E2+-+2x+-+24x+%2B+48%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >………inside parentheses group the first two terms together and the last two terms together like this: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28+x%5E2+-+2x%29+%2B+%28-+24x+%2B+48%29 ALIGN=MIDDLE  ALT=\"%28+x%5E2+-+2x%29+%2B+%28-+24x+%2B+48%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then we will have:\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28%28+x%5E2+-+2x%29+%2B+%28-+24x+%2B+48%29%29 ALIGN=MIDDLE  ALT=\"x%28%28+x%5E2+-+2x%29+%2B+%28-+24x+%2B+48%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >……… Factor a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1x ALIGN=MIDDLE  ALT=\"1x\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the first group and factor a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-24 ALIGN=MIDDLE  ALT=\"-24\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of the second group.\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%281x%28+x+-+2%29+-+24%28x+-+2%29%29 ALIGN=MIDDLE  ALT=\"x%281x%28+x+-+2%29+-+24%28x+-+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >……… now since we have a common term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%96+2 ALIGN=MIDDLE  ALT=\"x+%96+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > we can combine the two terms\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28+x+-+2%29+%28x+-+24%29 ALIGN=MIDDLE  ALT=\"x%28+x+-+2%29+%28x+-+24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >………\r<BR>\n" );
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document.write( "So the quadratic <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3 ALIGN=MIDDLE  ALT=\"x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > – <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=26%2Ax%5E2 ALIGN=MIDDLE  ALT=\"26%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > +<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+48%2Ax ALIGN=MIDDLE  ALT=\"+48%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28+x+-+2%29+%28x+-+24%29 ALIGN=MIDDLE  ALT=\"x%28+x+-+2%29+%28x+-+24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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