document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=325286>Question 325286</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose a polynomial P(x) when divided by x-5 has a quotient of 4x^3+5x^2+9x+13 and a remainder of 23. Find P(5). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #232942 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=232942\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remainder theorem: If you divide a polynomial p(x) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-k ALIGN=MIDDLE  ALT=\"x-k\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get a quotient q(x) and a remainder 'r', then p(k)=r\r<BR>\n" );
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document.write( "So by the remainder theorem, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%285%29=23 ALIGN=MIDDLE  ALT=\"P%285%29=23\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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