document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029543>Question 1029543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a quadratic equation with -1/3 and 4 as its roots. Write the equation in standard form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644530 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=644530\">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=%28x-%28-1%2F3%29%29%28x-4%29=0 ALIGN=MIDDLE  ALT=\"%28x-%28-1%2F3%29%29%28x-4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, rawest form;\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%2F3%29%28x-4%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B1%2F3%29%28x-4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------factored form.\r<BR>\n" );
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document.write( "One way to get standard form is find the vertex point which is exactly in the middle of the two given & known roots.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F3%2B4%29%2F2 ALIGN=MIDDLE  ALT=\"%28-1%2F3%2B4%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F3%2B12%2F3%29%2F2 ALIGN=MIDDLE  ALT=\"%28-1%2F3%2B12%2F3%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811%2F3%29%2F2 ALIGN=MIDDLE  ALT=\"%2811%2F3%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2F6 ALIGN=MIDDLE  ALT=\"11%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------coordinate for the vertex, x value.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2811%2F6%2B1%2F3%29%2811%2F6-4%29 ALIGN=MIDDLE  ALT=\"y=%2811%2F6%2B1%2F3%29%2811%2F6-4%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=%2811%2F6%2B2%2F6%29%2811%2F6-36%2F6%29 ALIGN=MIDDLE  ALT=\"y=%2811%2F6%2B2%2F6%29%2811%2F6-36%2F6%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=%2813%2F6%29%28-25%2F6%29 ALIGN=MIDDLE  ALT=\"y=%2813%2F6%29%28-25%2F6%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=-325%2F36 ALIGN=MIDDLE  ALT=\"y=-325%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" >--------y coordinate of the vertex.\r<BR>\n" );
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document.write( "Plug in to standard purely variablized form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"y=1%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" >, in which <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%28x-11%2F6%29%5E2-325%2F36%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%28x-11%2F6%29%5E2-325%2F36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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