document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189138>Question 189138</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine if f(x) is a factor of the polynomial using the factor theorem.<BR>\n" );
document.write( "x=3 for f(x) = x^3-4x-1\r<BR>\n" );
document.write( "\n" );
document.write( "How do I solve this? If you could please explain :)<BR>\n" );
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 #141879 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=141879\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine if f(x) is a factor of the polynomial using the factor theorem.<BR>\n" );
document.write( "x=3 for f(x) = x^3-4x-1 <BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "The Factor Theorem says \"If x-3 is a factor of f(x) if f(3)=0<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "So see if f(3) is zero.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "f(3) = 3^3-4*3-1 = 27-12-1 = 14<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "F(3) is not zero so (x-3) is not a factor of f(x).<BR>\n" );
document.write( "=====================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );