document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=753694>Question 753694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The x-intercepts of the graph are (3,0) ,(2,0) and <BR>\n" );
document.write( "(8,0). The y-intercept is (0,1). However the given graph is a 4th degree polynomial function pointing down. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #458530 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=458530\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The x-intercepts of the graph are (3,0) ,(2,0) and <BR>\n" );
document.write( "(8,0). The y-intercept is (0,1). However the given graph is a 4th degree polynomial function pointing down.<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Comment: One of those x-intercepts must have multiplicity 2.<BR>\n" );
document.write( "Since the function is 4th degree and opens down I think the<BR>\n" );
document.write( "(3,0) must have multiplicty 2.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "If so, you get:<BR>\n" );
document.write( "f(x) = a(x-2)(x-3)^2(x-8)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Since f(0) = 1, solve for \"a\":<BR>\n" );
document.write( "f(0) = a(-2)(-3)^2(-8) = 1<BR>\n" );
document.write( "a*16*9 = 1<BR>\n" );
document.write( "a = 1/144<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "f(x) = (1/144)(x-2)(x-3)^2(x-8)<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );