document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175171>Question 175171</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i determine whether (c+5) is a factor of (c^4+7c^3+6c^2-18c+10)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #130243 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=130243\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how do i determine whether (c+5) is a factor of how do i determine whether (c+5) is a factor of (c^4+7c^3+6c^2-18c+10)?<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "The easiest way is to substitute -5 for c.  If it's a factor, the polynomial will be zero.  (The -5 comes from setting (c+5) = 0.)<BR>\n" );
document.write( "(c^4+7c^3+6c^2-18c+10) =? 0<BR>\n" );
document.write( "625 -7*125 + 6*25 + 90 + 10 =? 0<BR>\n" );
document.write( "625 - 875 + 150 + 90 + 10 =? 0<BR>\n" );
document.write( "875 - 875 = 0, so it is a factor.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );