document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=422912>Question 422912</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have been reviewing factoring trinomials. I am kind of stuck on this problem. I got an answer and it is correct according to the book, but I just want to know how to check my answer. This all falls under factoring compleely.\r<BR>\n" );
document.write( "\n" );
document.write( "b^4-3b^3-10b^2\r<BR>\n" );
document.write( "\n" );
document.write( "the answer is b^2(b+2)(b-5). How do I go about checking this sort of problem? I am not sure what to do with the gcf when I am trying to check.\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #295141 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=295141\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E4-3b%5E3-10b%5E2 ALIGN=MIDDLE  ALT=\"b%5E4-3b%5E3-10b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....factor out common term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2 ALIGN=MIDDLE  ALT=\"b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2%28b%5E2-3b-10%29 ALIGN=MIDDLE  ALT=\"b%5E2%28b%5E2-3b-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >......now factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%5E2-3b-10%29 ALIGN=MIDDLE  ALT=\"%28b%5E2-3b-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3b ALIGN=MIDDLE  ALT=\"-3b\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b+-5b ALIGN=MIDDLE  ALT=\"2b+-5b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2%28b%5E2+%2B+2b+-5b-10%29 ALIGN=MIDDLE  ALT=\"b%5E2%28b%5E2+%2B+2b+-5b-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....group first two and second two terms\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2%28%28b%5E2+%2B+2b%29+-%285b%2B10%29%29 ALIGN=MIDDLE  ALT=\"b%5E2%28%28b%5E2+%2B+2b%29+-%285b%2B10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >......factor out<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%5E2+%2B+2b%29 ALIGN=MIDDLE  ALT=\"%28b%5E2+%2B+2b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285b%2B10%29 ALIGN=MIDDLE  ALT=\"%285b%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2%28b%28b+%2B+2%29+-5%28b%2B2%29%29 ALIGN=MIDDLE  ALT=\"b%5E2%28b%28b+%2B+2%29+-5%28b%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2%28b-5%29%28b%2B2%29%29 ALIGN=MIDDLE  ALT=\"b%5E2%28b-5%29%28b%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );