document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105806>Question 1105806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that -2 is a zero of multiplicity 3 of the function P(x) = x^5 + 2x^4 - 9x^3 - 22x^2 + 4x +24 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720690 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=720690\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (x+2)^3 is a factor.<BR>\n" );
document.write( "That is x^3+6x^2+12x+8-------------x^2-4x+3<BR>\n" );
document.write( "That can be divided into x^5+2x^4-9x^3-22x^2+4x+24<BR>\n" );
document.write( "==================x^5+6x^4+12x^3+8x^2---------change signs and subtract<BR>\n" );
document.write( "====================-4x^4-21x^3-30x^2+4x+24<BR>\n" );
document.write( "====================-4x^4-24x^3-48x^2-32x<BR>\n" );
document.write( "=========================3x^3+18x^2+36x+24<BR>\n" );
document.write( "=========================3x^3+18x^2+36x+24-change signs and subtract<BR>\n" );
document.write( "no remainder <BR>\n" );
document.write( "the quotient is x^2-4x+3, and that factors into (x-3)(x-1), so the other two roots are 1 and 3\r<BR>\n" );
document.write( "\n" );
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