document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=379486>Question 379486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given: P(x)= x^3-3x^2+x-3 and c=3<BR>\n" );
document.write( "Show that c is a root of P(x)\r<BR>\n" );
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document.write( "Show that x-c is a factor of P(x) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #269431 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=269431\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%283%29+=+3%5E3+-+3%2A3%5E2+%2B+3+-+3+=+0 ALIGN=MIDDLE  ALT=\"P%283%29+=+3%5E3+-+3%2A3%5E2+%2B+3+-+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Thus 3 is a root of P(x).  By the factor theorem, x - 3 divides, or is a factor of, P(x). </SPAN>\n" );
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