document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86478>Question 86478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> factor completely\r<BR>\n" );
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document.write( "-3t+3t^2-6t  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62551 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=62551\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given expression is: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3t+%2B+3t%5E2+-+6t+ ALIGN=MIDDLE  ALT=\"+-3t+%2B+3t%5E2+-+6t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Here, we observe that there are two temrs which contain t and one term that contain <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E2 ALIGN=MIDDLE  ALT=\"t%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So grouping like terms, we get: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3t%5E2+-+9t ALIGN=MIDDLE  ALT=\"3t%5E2+-+9t\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Here 3t can be taken out as the common factor. Hence, this cna be factored as: \r<BR>\n" );
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document.write( "3t(t - 3) \r<BR>\n" );
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document.write( "NOTE:  If the given quadratic is equated top zero then the value of t can be found out in the way as shown below. \r<BR>\n" );
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document.write( "3t^2 - 9t = 0 \r<BR>\n" );
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document.write( "==> 3t(t - 3) = 0 \r<BR>\n" );
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document.write( "==> 3t = 0 OR t - 3 = 0 \r<BR>\n" );
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document.write( "==> t = 0  OR t = 3\r<BR>\n" );
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document.write( "Hence, the solution..\r<BR>\n" );
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document.write( "Regards\r<BR>\n" );
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document.write( " </SPAN>\n" );
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