document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=890231>Question 890231</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation for a function with a graph that has x-intercepts at –3, 4<BR>\n" );
document.write( "and 6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #538803 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=538803\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an equation for a function with a graph that has x-intercepts at –3, 4<BR>\n" );
document.write( "and 6<BR>\n" );
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document.write( "From each intercept, we can derive a \"factor\":<BR>\n" );
document.write( "(x+3)(x-4)(x-6)<BR>\n" );
document.write( "we multiply the above together to get the polynomial<BR>\n" );
document.write( "(x^2-x-12)(x-6)<BR>\n" );
document.write( "x(x^2-x-12) - 6(x^2-x-12)<BR>\n" );
document.write( "(x^3-x^2-12x) - (6x^2-6x-72)<BR>\n" );
document.write( "x^3-x^2-12x - 6x^2+6x+72<BR>\n" );
document.write( "x^3-7x^2-12x+6x+72<BR>\n" );
document.write( "x^3-7x^2-6x+72 (this is what they're looking for)\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );