document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=53385>Question 53385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> factoring (not using the quadratic equation!!)<BR>\n" );
document.write( "x^2-20x+100\r<BR>\n" );
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document.write( "6a^2-11a+3\r<BR>\n" );
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document.write( "3a^2= 7a+6\r<BR>\n" );
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document.write( "x^2=2x+63\r<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 #35653 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=35653\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2 - 20x + 100 ~> factors of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ac ALIGN=MIDDLE  ALT=\"a%2Ac\"   DISABLED_style= \"max-width:90%; height:auto;\" > that sum to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > ~> -10 and -10<BR>\n" );
document.write( "x^2 - 10x - 10x + 100<BR>\n" );
document.write( "(x^2 - 10x) + (-10x + 100)<BR>\n" );
document.write( "x(x - 10) - 10(x - 10)<BR>\n" );
document.write( "(x - 10)(x - 10)<BR>\n" );
document.write( "~~<BR>\n" );
document.write( "6a^2 - 11a + 3 ~> factors of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18 ALIGN=MIDDLE  ALT=\"18\"   DISABLED_style= \"max-width:90%; height:auto;\" > that sum <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-11 ALIGN=MIDDLE  ALT=\"-11\"   DISABLED_style= \"max-width:90%; height:auto;\" > ~> -9 and -2<BR>\n" );
document.write( "6a^2 - 9a - 2a + 3<BR>\n" );
document.write( "(6a^2 - 9a) + (-2a + 3)<BR>\n" );
document.write( "3a(2a - 3) - 1(2a - 3)<BR>\n" );
document.write( "(3a - 1)(2a - 3)<BR>\n" );
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document.write( "3a^2 = 7a + 6<BR>\n" );
document.write( "3a^2 - 7a - 6 = 0 ~> factors of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-18 ALIGN=MIDDLE  ALT=\"-18\"   DISABLED_style= \"max-width:90%; height:auto;\" > that sum to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7 ALIGN=MIDDLE  ALT=\"-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > ~> -9 and 2<BR>\n" );
document.write( "3a^2 - 9a + 2a - 6 = 0<BR>\n" );
document.write( "(3a^2 - 9a) + (2a - 6) = 0<BR>\n" );
document.write( "3a(a - 3) + 2(a - 3) = 0<BR>\n" );
document.write( "(3a + 2)(a - 3) = 0<BR>\n" );
document.write( "a = -2/3 and a = 3<BR>\n" );
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document.write( "x^2 = 2x + 63<BR>\n" );
document.write( "x^2 - 2x - 63 = 0 ~> factors of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-63 ALIGN=MIDDLE  ALT=\"-63\"   DISABLED_style= \"max-width:90%; height:auto;\" > that sum to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ~> -9 and 7<BR>\n" );
document.write( "x^2 - 9x + 7x - 63 = 0<BR>\n" );
document.write( "(x^2 - 9x) + (7x - 63) = 0<BR>\n" );
document.write( "x(x - 9) + 7(x - 9) = 0<BR>\n" );
document.write( "(x + 7)(x - 9) = 0<BR>\n" );
document.write( "x = -7 and x = 9 </SPAN>\n" );
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