document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=974259>Question 974259</A>: <I><SPAN STYLE=\"word-break: break-all;\">  P(x) is a polynomial such that: P(x + 3/2)=P(x)<BR>\n" );
document.write( "If P(17) = 687, find the value of P(23). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #596230 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=596230\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I don't think a polynomial like that exists, because<BR>\n" );
document.write( "a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29 ALIGN=MIDDLE  ALT=\"P%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x+%2B+3%2F2%29=P%28x%29 ALIGN=MIDDLE  ALT=\"P%28x+%2B+3%2F2%29=P%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a periodic function (like trigonometric functions),<BR>\n" );
document.write( "that has a period of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%222+n%22 ALIGN=MIDDLE  ALT=\"3%2F%222+n%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > for a natural number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "For such a function,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2823%29=P%2817%29=687 ALIGN=MIDDLE  ALT=\"P%2823%29=P%2817%29=687\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23-17=6=4%2A%283%2F2%29 ALIGN=MIDDLE  ALT=\"23-17=6=4%2A%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2823%29=P17%2B4%283%2F2%29%29 ALIGN=MIDDLE  ALT=\"P%2823%29=P17%2B4%283%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2817%2B4%283%2F2%29%29=P%2817%2B3%283%2F2%29%29=P%2817%2B2%283%2F2%29%29=P%2817%2B3%2F2%29=P%2817%29=687 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );