document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37672>Question 37672</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321233883/algebrahomeworkh>Elementary Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Please help, factor by grouping, if possible and check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10x%5E3-25x%5E2%2B2x-5+ ALIGN=MIDDLE  ALT=\"+10x%5E3-25x%5E2%2B2x-5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23692 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=23692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Yes, let me show you how...from<BR>\n" );
document.write( "10x^3 - 25x^2 + 2x - 5<BR>\n" );
document.write( "let us group the terms this way<BR>\n" );
document.write( "(10x^3 - 25x^2) + (2x - 5)<BR>\n" );
document.write( "Now from the first group we can factor out 5x^2 and get<BR>\n" );
document.write( "5x^2(2x - 5) + (2x - 5)<BR>\n" );
document.write( "Now we factor out 2x - 5 from both and get the final answer<BR>\n" );
document.write( "(2x - 5)(5x^2 + 1) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );