document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1027176>Question 1027176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I'm having  trouble solving and figuring what to do in this problem: \r<BR>\n" );
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document.write( "Graph f(x)= x^3 + 5x^2 + 2x - 8<BR>\n" );
document.write( "Identify the x-intercepts and the points where the local maximums and local minimums occur.<BR>\n" );
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document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642422 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=642422\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The x-intercepts are precisely the zeroes of the function f(x), i.e. the values of x such that f(x) = 0. Try to find a real root r of f(x) (hint: there's a pretty easy one!), then divide by x-r to get a quadratic, in which you can use the quadratic formula or another method to find the other two roots.\r<BR>\n" );
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document.write( "To find local maxima/minima you have to find f'(x):\r<BR>\n" );
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document.write( "f'(x) = 3x^2 + 10x + 2\r<BR>\n" );
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document.write( "Set f'(x) = 0 to find critical points. For each critical point, check whether it is a local maximum or minimum. </SPAN>\n" );
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