document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168999>Question 168999</A>: <I><SPAN STYLE=\"word-break: break-all;\"> factor -9b+63 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #124626 by </B><A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><B>Electrified_Levi(103)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Electrified_Levi><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=124626\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, Hope I can help,<BR>\n" );
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document.write( "factor -9b+63<BR>\n" );
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document.write( "First we need to find what is in common in both terms ( -9b and \"63\")<BR>\n" );
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document.write( "They both have a (-9) in common, now divide both terms by (-9)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-9b%29%2F-9+ ALIGN=MIDDLE  ALT=\"+%28-9b%29%2F-9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+63%2F-9+ ALIGN=MIDDLE  ALT=\"+63%2F-9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+7+ ALIGN=MIDDLE  ALT=\"+-+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now we can combine the two answers, which equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+-+7+ ALIGN=MIDDLE  ALT=\"+b+-+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this makes up the second factor, first is (-9)<BR>\n" );
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document.write( "The factored form = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-9%29%28b-7%29+ ALIGN=MIDDLE  ALT=\"+%28-9%29%28b-7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You would get the original polynomial if you used the distribution method<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-9%29%28b-7%29+ ALIGN=MIDDLE  ALT=\"+%28-9%29%28b-7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight+%28-9%29%28highlight%28b%29-7%29+ ALIGN=MIDDLE  ALT=\"highlight+%28-9%29%28highlight%28b%29-7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight+%28-9%29%28b-highlight%287%29%29+ ALIGN=MIDDLE  ALT=\"highlight+%28-9%29%28b-highlight%287%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, remember the signs<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-9b+%2B+63+ ALIGN=MIDDLE  ALT=\"+-9b+%2B+63+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, our original polynomial, they most likely want you to have \"b\" positive, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-9%29%28b-7%29+ ALIGN=MIDDLE  ALT=\"+%28-9%29%28b-7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is your answer<BR>\n" );
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document.write( "Here is another way of factoring<BR>\n" );
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document.write( "They both have a \"9\" in common, now divide both terms by \"9\"<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-9b%29%2F9+ ALIGN=MIDDLE  ALT=\"+%28-9b%29%2F9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1b+ ALIGN=MIDDLE  ALT=\"+-1b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+b+ ALIGN=MIDDLE  ALT=\"+-+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+63%2F9+ ALIGN=MIDDLE  ALT=\"+63%2F9+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7+ ALIGN=MIDDLE  ALT=\"+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now we can combine the two answers, which equals <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b+%2B+7+ ALIGN=MIDDLE  ALT=\"+-b+%2B+7+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this makes up the second factor, first is \"9\"<BR>\n" );
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document.write( "The factored form = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%29%28-b%2B7%29+ ALIGN=MIDDLE  ALT=\"+%289%29%28-b%2B7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we can check by distribution<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%29%28-b%2B7%29+ ALIGN=MIDDLE  ALT=\"+%289%29%28-b%2B7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%289%29%28highlight%28-b%29%2B7%29+ ALIGN=MIDDLE  ALT=\"+highlight%289%29%28highlight%28-b%29%2B7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%289%29%28-b%2Bhighlight%287%29%29+ ALIGN=MIDDLE  ALT=\"+highlight%289%29%28-b%2Bhighlight%287%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (Remember signs)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-9b+%2B+63+ ALIGN=MIDDLE  ALT=\"+-9b+%2B+63+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, our original polynomial<BR>\n" );
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document.write( "They most likely want your \"b\" to be positive, so your factored answer is<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-9%29%28b-7%29+ ALIGN=MIDDLE  ALT=\"+%28-9%29%28b-7%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope I helped, Levi </SPAN>\n" );
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