document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57085>Question 57085</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618073639/algebrahomeworkh>Applied College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 50. A bride-to-be has several girlfriends, but she has decided to have only five bridesmaids, including the maid of honor. The number of different ways n girlfriends can be chosen and assigned a position, such as maid of honor, first matron, second matron, and so on, is given by polynomial function<BR>\n" );
document.write( "P(n) = n^5 - 10n^4 + 35n^3 - 50n^2 + 24n<BR>\n" );
document.write( "a. Use the remainder Theorem to determine the number of ways the bride can select her bridesmaids if she choose from n = 7 girlfriends.<BR>\n" );
document.write( "b. Evaluate P(n) for n = 7 by substituting 7 for n. How does this result compare with the result obtained in part a.? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38786 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=38786\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(n) = n^5 - 10n^4 + 35n^3 - 50n^2 + 24n<BR>\n" );
document.write( "a. Use the remainder Theorem to determine the number of ways the bride can select her bridesmaids if she choose from n = 7 girlfriends.<BR>\n" );
document.write( "b. Evaluate P(n) for n = 7 by substituting 7 for n. How does this result compare with the result obtained in part a.?<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "a. The Remainder Theorem says the remainder when you divide a polynomial<BR>\n" );
document.write( "be n-k is f(k)<BR>\n" );
document.write( "You can divide by long division or by synthetic division.<BR>\n" );
document.write( "That's a mess when you have to type it so let me just say <BR>\n" );
document.write( "you get a quotient of n^4-3n^3+14n^2+48n+360  and a remainder<BR>\n" );
document.write( "of 2520<BR>\n" );
document.write( "b. Same result <BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );