document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=430167>Question 430167</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (a) The equation of the curve is y=2x³-7x²+4x+4. Find the x value of the maximum turning point. The maximum T.P is NOT on the Y axis\r<BR>\n" );
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document.write( "So far I have that dy/dx=6x²-14x+4=0<BR>\n" );
document.write( "   divide through by 2   3x²-7x+2=0<BR>\n" );
document.write( "                         (3x-1)(x-2)=0<BR>\n" );
document.write( "                          x=1/3 and x=2\r<BR>\n" );
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document.write( " When I sub 2 into y=2x³-7x²+4x+4, I get that y=0 therefore it must be x=1/3. I sub this into y=... and get 124/27.\r<BR>\n" );
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document.write( "I am unsure if this is correct.\r<BR>\n" );
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document.write( "(b) Factorise 2x³-7x²+4x+4. I used synthetic division and got that x=2 so (x-2)<BR>\n" );
document.write( "&#8756; (x-2)(2x²-5x+2)<BR>\n" );
document.write( " =(x-2)(2x-1)(x-2)\r<BR>\n" );
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document.write( "Now I am stuck. The qusetion is State the co-ordinates of the point A and hence find the values of x for which 2x³-7x²+4x+4<0.\r<BR>\n" );
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document.write( "It may be easier if I email you the question.\r<BR>\n" );
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document.write( "Any help would be greatly appreciated.<BR>\n" );
document.write( "Andrew.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #298744 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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/cgi-bin/show-face.mpl?user=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=298744\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">   <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><font face = \"Tohoma\" size = 4 color = \"indigo\"><b> <BR>\n" );
document.write( "Hi<BR>\n" );
document.write( "1) correct on (1/3,124/27)being the maximum turning point   |good work<BR>\n" );
document.write( "2) 2x³-7x²+4x+4 = (x-2)(2x^2-3x-2) = (x-2)(2x+1)(x-2)  |x= -1/2 and x = 2<BR>\n" );
document.write( "  x < -1/2 lends to f(x)< 0<BR>\n" );
document.write( "always recommend sketching the graph..can be extremely helpful.<BR>\n" );
document.write( "can download FREE graph software at<BR>\n" );
document.write( "http://www.padowan.dk.com\r<BR>\n" );
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