document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206757>Question 206757</A>: <I><SPAN STYLE=\"word-break: break-all;\"> factor this and tell me step by step how you get every answer..<BR>\n" );
document.write( "9x^3+18x^2-x-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156271 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=156271\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> factor this and tell me step by step how you get every answer..<BR>\n" );
document.write( "9x^3+18x^2-x-2<BR>\n" );
document.write( "factor this and tell me step by step how you get every answer..<BR>\n" );
document.write( "9x^3+18x^2-x-2<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "1st: I check to see if f(1) and/or f(-1) = 0<BR>\n" );
document.write( "2nd: If they do not I graph the equation to find a zero.<BR>\n" );
document.write( "Your problem has a zero at x = -2<BR>\n" );
document.write( "So it has a factor of x+2<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "3rd: Then I use synthetic division to find the other Real Number zeroes.<BR>\n" );
document.write( "-2)....9....18....-1....-2<BR>\n" );
document.write( ".......9..... 0.....-1...|..0\r<BR>\n" );
document.write( "\n" );
document.write( "Since the Quotient is 9x^2-1<BR>\n" );
document.write( "the other factors are (3x-1)(3x+1)<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "Final Answer: (x+2)(3x-1)(3x+1)<BR>\n" );
document.write( "======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );