document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=117806>Question 117806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following is not a polynomial? Please show work.\r<BR>\n" );
document.write( "\n" );
document.write( "A)  24    B)  4x3 + 5x – 1    C)  2x –      D)  3xy2 + xy\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #85812 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=85812\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm not sure what the minus sign hanging off the end of answer C is supposed to denote, but be that as it may, all four of the choices are, in fact, polynomials.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A) is a monomial (meaning it is a 1 term polynomial) of degree 0 (meaning the exponent on the variable is zero, and anything to the zero power is 1.  In other words, the constant term 24 could be written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24x%5E0 ALIGN=MIDDLE  ALT=\"24x%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "B) is a trinomial (three terms) of degree 3 (the largest exponent on any term is 3)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "C) is monomial of degree 1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "D) is a binomial of degree 3.  It is degree 3 because the degree is determined by the sum of the exponents in multivariate terms.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3xy%5E2=3%2Ax%5E1%2Ay%5E2 ALIGN=MIDDLE  ALT=\"3xy%5E2=3%2Ax%5E1%2Ay%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and 1 + 2 = 3.  Contrast this with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28xy%29%5E2 ALIGN=MIDDLE  ALT=\"3%28xy%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which would be a multivariate term of degree 4 because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28xy%29%5E2=3x%5E2y%5E2 ALIGN=MIDDLE  ALT=\"3%28xy%29%5E2=3x%5E2y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I would be very curious to learn which of the answers your instructor believes to be correct and why.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps,<BR>\n" );
document.write( "John </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );