document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110316>Question 110316</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factoring a quadratic wit leading coefficient greaer than 1<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 #80368 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=80368\">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=3w%5E2%2B14w%2B8 ALIGN=MIDDLE  ALT=\"3w%5E2%2B14w%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We need to find two factors of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=aw%2Bb ALIGN=MIDDLE  ALT=\"aw%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cw%2Bd ALIGN=MIDDLE  ALT=\"cw%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Both of the signs are + because the signs are all + in the given trinomial. We need to choose a, b, c, and d with the following relationships:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ac=3 ALIGN=MIDDLE  ALT=\"a%2Ac=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Ad=8 ALIGN=MIDDLE  ALT=\"b%2Ad=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ad%2Bb%2Ac=14 ALIGN=MIDDLE  ALT=\"a%2Ad%2Bb%2Ac=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Possibilities for a and c are 1 and 3.<BR>\n" );
document.write( "Possibilities for b and d are 1 and 8 or 2 and 4.<BR>\n" );
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document.write( "let's try a = 3 and c = 1.  3 * 4 = 12 and 1 * 2 = 2, 12 + 2 = 14.<BR>\n" );
document.write( "So, a = 3, b = 2, c = 1, and d = 4.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283w%2B2%29%28w%2B4%29 ALIGN=MIDDLE  ALT=\"%283w%2B2%29%28w%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Check:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3w%5E2%2B14w%2B8 ALIGN=MIDDLE  ALT=\"3w%5E2%2B14w%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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