document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1189334>Question 1189334</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Given f(x)=3x^4 -2x^3 + 7x -2, how many sign changes are there in the <BR>\n" );
document.write( "    coefficient of f(-x)?<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 #820672 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=820672\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "I think the other tutor answered the wrong question....<br><BR>\n" );
document.write( "The given function is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=3x%5E4-2x%5E3%2B7x-2 ALIGN=MIDDLE  ALT=\"f%28x%29=3x%5E4-2x%5E3%2B7x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Replacing x by -x, we get<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-x%29=3%28-x%29%5E4-2%28-x%29%5E3%2B7%28-x%29-2 ALIGN=MIDDLE  ALT=\"f%28-x%29=3%28-x%29%5E4-2%28-x%29%5E3%2B7%28-x%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-x%29=3x%5E4%2B2x%5E3-7x-2 ALIGN=MIDDLE  ALT=\"f%28-x%29=3x%5E4%2B2x%5E3-7x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "In that function, the signs of the terms are +,+,-,-.  There is only one sign change IN THAT FUNCTION.<br><BR>\n" );
document.write( "Comparing the functions f(x) and f(-x), we see that two signs changed from one to the other.  That is obvious, because from f(x) to f(-x) the sign will change on every term with an odd power.<br><BR>\n" );
document.write( "But that is not what the question is about....<br><BR>\n" );
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