document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=815213>Question 815213</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to convert an equation in standard form to factored form ?<BR>\n" );
document.write( "This equation in standard form is y=-2x^2+12x-4<BR>\n" );
document.write( "in vertex form, it's y= -2(x-3)^2+14\r<BR>\n" );
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document.write( "So how to write it in factored form /?<BR>\n" );
document.write( "Thanks for any help.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #490768 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=490768\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The actual naming is reversed.<BR>\n" );
document.write( "Standard Form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%28x-3%29%5E2%2B14 ALIGN=MIDDLE  ALT=\"y=-2%28x-3%29%5E2%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" > and General Form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%5E2%2B12x-4 ALIGN=MIDDLE  ALT=\"y=-2x%5E2%2B12x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "You complete the square on general form to convert to standard form.  Factor the -2 from the right side expression first:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%28x%5E2-6x%2B2%29 ALIGN=MIDDLE  ALT=\"y=-2%28x%5E2-6x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The term to add and subtract inside the trinomial factor is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-6%2F2%29%5E2=9 ALIGN=MIDDLE  ALT=\"%28-6%2F2%29%5E2=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%28x%5E2-6x%2B9+-9%2B2%29 ALIGN=MIDDLE  ALT=\"y=-2%28x%5E2-6x%2B9+-9%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%28%28x-3%29%5E2-9%2B2%29 ALIGN=MIDDLE  ALT=\"y=-2%28%28x-3%29%5E2-9%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%28%28x-3%29%5E2-7%29 ALIGN=MIDDLE  ALT=\"y=-2%28%28x-3%29%5E2-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now multiply using distributive property:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-2%28x-3%29%5E2-14%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-2%28x-3%29%5E2-14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > now in standard form from which you can directly read the vertex point, (3,-14).\r<BR>\n" );
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document.write( "FACTORING THE EQUATION FROM THE ORIGINALLY GIVEN GENERAL FORM?:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2x%5E2%2B12x-4 ALIGN=MIDDLE  ALT=\"y=-2x%5E2%2B12x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, as given.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-2%28x%5E2-6x%2B2%29 ALIGN=MIDDLE  ALT=\"y=-2%28x%5E2-6x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the trinomial factor IS NOT FACTORABLE any further! </SPAN>\n" );
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