document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=815078>Question 815078</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.)how do you complete the square of f(x)=x^2+4x+2 to the right hand side <BR>\n" );
document.write( "2.)how do you complete the square of f(x)=-2x^2+6x+2 to the right handside </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #490704 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=490704\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am giving help on your SECOND question because it requires more thorough skill than the FIRST question.  \r<BR>\n" );
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document.write( "Factorize a -2 on the right side expression!<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%28x%5E2-3x-1%29 ALIGN=MIDDLE  ALT=\"-2%28x%5E2-3x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "NOW you are ready to complete the square, as long as you can identify the needed square term.  Focus on the trinomial factor of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x-1 ALIGN=MIDDLE  ALT=\"x%5E2-3x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "The missing square term is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28-3%2F2%29%5E2=9%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28%28-3%2F2%29%5E2=9%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and THAT is the term you both add and subtract INSIDE the parentheses.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-2%28x%5E2-3x-1+%2B9%2F4+-9%2F4%29 ALIGN=MIDDLE  ALT=\"f%28x%29=-2%28x%5E2-3x-1+%2B9%2F4+-9%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-2%28x%5E2-3x%2B9%2F4+-1-9%2F4%29 ALIGN=MIDDLE  ALT=\"f%28x%29=-2%28x%5E2-3x%2B9%2F4+-1-9%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-2%28%28x%5E2-3x%2B9%2F4%29-1-9%2F4%29 ALIGN=MIDDLE  ALT=\"f%28x%29=-2%28%28x%5E2-3x%2B9%2F4%29-1-9%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The grouping added is to emphasise,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-2%28%28x-3%2F2%29%5E2-4%2F4-9%2F4%29 ALIGN=MIDDLE  ALT=\"f%28x%29=-2%28%28x-3%2F2%29%5E2-4%2F4-9%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-2%28%28x-3%2F2%29%5E2-13%2F4%29 ALIGN=MIDDLE  ALT=\"f%28x%29=-2%28%28x-3%2F2%29%5E2-13%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And now perform the remultiplication to reverse the previous factorization.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%28x%29=-2%28x-3%2F2%29%5E2-13%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28f%28x%29=-2%28x-3%2F2%29%5E2-13%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Further, you might want to show <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2F2 ALIGN=MIDDLE  ALT=\"13%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%261%2F2 ALIGN=MIDDLE  ALT=\"6%261%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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