document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153869>Question 1153869</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello to all! I have been tackling this problem for the past 4 hours, and sadly with no luck!\r<BR>\n" );
document.write( "\n" );
document.write( "The function f(x)=x^3+3x^2+kx-4. The remainder when f(x) is divided by (x+2) is triple the remainder when f(x) is divided by (x-2). Determine the value of k. \r<BR>\n" );
document.write( "\n" );
document.write( "At first I used (x-2), and let the value for x=2. Input 2 into the equation to find the value of K which i get -8. However when I try to do the division with both values to find the remainder to confirm my answer, everything goes haywire! Please help me :( </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776180 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=776180\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Thanks for saying what you did on the problem... but I don't understand it.<br><BR>\n" );
document.write( "The remainder when a polynomial f(x) is divided by (x-a) is equal to f(a).<br><BR>\n" );
document.write( "The remainder when the given polynomial is divided by (x+2) (that is, (x-(-2)) is f(-2):<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%29%5E3%2B3%28-2%29%5E2%2Bk%28-2%29-4+=+-8%2B12-2k-4+=+-2k ALIGN=MIDDLE  ALT=\"%28-2%29%5E3%2B3%28-2%29%5E2%2Bk%28-2%29-4+=+-8%2B12-2k-4+=+-2k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The remainder when the given polynomial is divided by (x-2) is f(2):<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%29%5E3%2B3%282%29%5E2%2Bk%282%29-4+=+8%2B12%2B2k-4+=+2k%2B16 ALIGN=MIDDLE  ALT=\"%282%29%5E3%2B3%282%29%5E2%2Bk%282%29-4+=+8%2B12%2B2k-4+=+2k%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The first remainder is 3 times the second:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2k+=+3%282k%2B16%29 ALIGN=MIDDLE  ALT=\"-2k+=+3%282k%2B16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Finish from there with basic algebra....<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );