document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30208>Question 30208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> when a question asks you to show something algebraically, DO NOT substitute numbers for the variables and give me an example.  On the other hand, when a question asks you to show something numerically or to provide an example, you may substitute numbers for the variables. Show all work.\r<BR>\n" );
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document.write( "Let p(x) = x4 - 6x3 + 11x2 - 6x.  Using the fact that p(1) = 0, completely factor p (i.e., express p as a product of linear factors). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16909 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=16909\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let p(x) = x4 - 6x3 + 11x2 - 6x. Using the fact that p(1) = 0, completely factor p (i.e., express p as a product of linear factors<BR>\n" );
document.write( "SO X-1 IS A FACTOR..<BR>\n" );
document.write( " p(x) = x4 - 6x3 + 11x2 - 6x. <BR>\n" );
document.write( "=X(X^3-6X^2+11X-6)=X(X-1)(AX^2+BX+C)...COMPARING COEFFICIENTS OF LIKE TERMS<BR>\n" );
document.write( "COEFFICIENT OF X^4.......GIVES US....A=1.......<BR>\n" );
document.write( "COEFFICIENT OF X GIVES US............C=6......<BR>\n" );
document.write( "COEFFICIENT OF X^2 GIVES US ....C-B=11...SINCE C IS 6 , WE GET B=-5..<BR>\n" );
document.write( "SO WE GET <BR>\n" );
document.write( "p(x) = x4 - 6x3 + 11x2 - 6x. <BR>\n" );
document.write( "=X(X^3-6X^2+11X-6)=X(X-1)(AX^2+BX+C)=X(X-1)(X^2-5X+6)=X(X-1)(X^2-3X-2X+6)=<BR>\n" );
document.write( "X(X-1){X(X-3)-2(X-3)}=X(X-1)(X-3)(X-2) </SPAN>\n" );
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