document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4240>Question 4240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find all of the roots of these equations:<BR>\n" );
document.write( "x^3-2x^2-2x-3<BR>\n" );
document.write( "x^3+x^2+x+1<BR>\n" );
document.write( "x^4+3x^3+3x^2+3x+2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2036 by </B><A HREF=/tutors/aboutme.mpl?userid=khwang><B>khwang(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=khwang><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=2036\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  i) x^3-2x^2-2x-3 <BR>\n" );
document.write( "   = x^3 -3x^2 + x^2-2x-3<BR>\n" );
document.write( "   = x^2(x-3)-(x^2-2x-3)<BR>\n" );
document.write( "   = x^2(x-3)-(x-3)(x+1)<BR>\n" );
document.write( "   = (x-3)(x^2-x-1)\r<BR>\n" );
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document.write( "  Roots are 3, [1+sqrt(5)]/2, [1-sqrt(5)]/2\r<BR>\n" );
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document.write( " ii) x^3+x^2+x+1<BR>\n" );
document.write( "  = x^2(x+1) +(x+1)<BR>\n" );
document.write( "  = (x+1)(x^2+1)\r<BR>\n" );
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document.write( " Roots are -1,i and -i.\r<BR>\n" );
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document.write( " (iii) x^4+3x^3+3x^2+3x+2 <BR>\n" );
document.write( "   = (x^4+ x^3)+ (2x^3+ 2x^2)+ (x^2+3x+2 )<BR>\n" );
document.write( "   = x^3(x+1) + 2x^2(x+1) + (x+1)(x+2)<BR>\n" );
document.write( "   = (x+1)[x^3+2x^2+x+2]<BR>\n" );
document.write( "   = (x+1)(x+2)(x^2+1)<BR>\n" );
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document.write( " Roots are -1,-2,i, & -i\r<BR>\n" );
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document.write( " Kenny<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );