document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=443181>Question 443181</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me to solve t^3 -t^2 +t-1 divide t-1 using long division. thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305711 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> t-1 |  t^3 -t^2 +t -1\r<BR>\n" );
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document.write( "How many times does t go into t^3? t^2<BR>\n" );
document.write( "(t-1)t^2 = t^3 - t^2\r<BR>\n" );
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document.write( "t^3 - t^2 + t -1<BR>\n" );
document.write( "-(t^3 - t^2)<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "0 + t -1<BR>\n" );
document.write( "========<BR>\n" );
document.write( "How many times does t go into t-1? 1<BR>\n" );
document.write( "t-1<BR>\n" );
document.write( "-(t-1)<BR>\n" );
document.write( "======<BR>\n" );
document.write( "0<BR>\n" );
document.write( "=======<BR>\n" );
document.write( "Remainder of 0, then t-1 divides evenly, and you get t^2 + 1. \r<BR>\n" );
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document.write( "Let's check this.\r<BR>\n" );
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document.write( "(t-1)(t^2+1) ------by foil ----->t^3 - t^2 +t -1 <BR>\n" );
document.write( "So yes, we're right. </SPAN>\n" );
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