document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=656066>Question 656066</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a. List all possible rational zeros.<BR>\n" );
document.write( "b. Use synthetic division to test the possible rational zeros and find an actual zero.<BR>\n" );
document.write( "c. Use the quotient from part (b) to find the remaining zeros of the polynomial function. \r<BR>\n" );
document.write( "\n" );
document.write( "f(x)= x^3+x^2-4x-4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #409349 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=409349\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)= x^3+x^2-4x-4<BR>\n" );
document.write( "a. List all possible rational zeros.<BR>\n" );
document.write( "+-1,+-2,+-4<BR>\n" );
document.write( "b. Use synthetic division to test the possible rational zeros and find an actual zero.<BR>\n" );
document.write( "testing -1:<BR>\n" );
document.write( "-1 | 1 1 -4 -4<BR>\n" );
document.write( "      -1  0  4<BR>\n" );
document.write( "  ---------------<BR>\n" );
document.write( "     1 0 -4  0    <BR>\n" );
document.write( "since, it is evenly divisible, -1 is a root<BR>\n" );
document.write( ".<BR>\n" );
document.write( "c. Use the quotient from part (b) to find the remaining zeros of the polynomial function.<BR>\n" );
document.write( "since -1 is a root, we then have<BR>\n" );
document.write( "(x+1)(x^2-4)<BR>\n" );
document.write( "factoring right term:<BR>\n" );
document.write( "(x+1)(x-2)(x+2)<BR>\n" );
document.write( "zeros are then<BR>\n" );
document.write( "x = {-2, -1, 2}<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );