document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173097>Question 173097</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the Factor Theorem to determine whether x - c is a factor of the following function. Write in the form f(x) = (x - c)(quotient)  if   f(x)  =  4x 3 - 3x 2 + 9  and  c  =  3.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127931 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=127931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the Factor Theorem to determine whether x - c is a factor of the following function. Write in the form f(x) = (x - c)(quotient) if f(x) = 4x 3 - 3x 2 + 9 and c = 3. <BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Use synthetic to get:<BR>\n" );
document.write( "3)....4....-3....0....9<BR>\n" );
document.write( ".......4.....9....27..|..90\r<BR>\n" );
document.write( "\n" );
document.write( "=====================================<BR>\n" );
document.write( "Quotient: 4x^2 + 9x + 27<BR>\n" );
document.write( "Remainder 90\r<BR>\n" );
document.write( "\n" );
document.write( "================================<BR>\n" );
document.write( "f(x) = (x-3)(4x^2 + 9x + 27) + (90/(x-3)\r<BR>\n" );
document.write( "\n" );
document.write( "=================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );