document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40765>Question 40765</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rewrite the middle term as the sum of two terms and then factor completely\r<BR>\n" );
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document.write( "4z^3 - 18z^2 - 10z </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #26169 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=26169\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rewrite the middle term as the sum of two terms and then factor completely<BR>\n" );
document.write( "4z^3 - 18z^2 - 10z\r<BR>\n" );
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document.write( "What you want are two expressions whose product is -40 and <BR>\n" );
document.write( "whose sum is -18<BR>\n" );
document.write( "The numbers are -20 and +2.<BR>\n" );
document.write( "So replace -18z^2 with (-20z^2+2z^2)\r<BR>\n" );
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document.write( "4z^3 -20z^2+2z^2-10z<BR>\n" );
document.write( "4z^2(z-5)+2z(z-5)<BR>\n" );
document.write( "(z-5)(4z^2+2z)<BR>\n" );
document.write( "2z(z-5)(2z=1)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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