document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=907361>Question 907361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the polynomial f(x) = - x 5 + 3x 3 – x 2 + 7x + 1 state \r<BR>\n" );
document.write( "\n" );
document.write( "   a. the maximum number of real zeroes that it can have\r<BR>\n" );
document.write( "\n" );
document.write( "   <BR>\n" );
document.write( "   b. the maximum number of x-intercepts that its graph can have\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "   c. the maximum number of turning points that the graph of the function can have.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #550274 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=550274\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> maximum number of real zeroes is 5 because the maximum number of real zeroes is equal to the degree of the equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the maximum number of x-intercepts is the same as the maximum number of real zeroes.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the maximum number of turning points is 4 because the maximum number of turning points is always one less than the degree of the equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the polynomial can have less than the maximum, but never more.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "real roots of a polynomial go down in pairs because, if there are complex roots to the polynomial (not real), they always come in pairs.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );