document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=462083>Question 462083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am supposed to complete this table using polynomials. I don't know how to and need help.<BR>\n" );
document.write( "-6x^4+6x^3 - 6x^2 + 5x - 7<BR>\n" );
document.write( "The table is divided in 4 sections: Term, Coefficient, Degree of Term, Degree of Polynomial </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #316811 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=316811\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Your polynomial has 5 terms, so you need 5 rows in your table:\r<BR>\n" );
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document.write( "First row:  Term <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large -6x^4,\ \ \"> Coefficient <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large -6,\ \ \"> Degree of term <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 4,\ \ \"> Degree of polynomial <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 4\">\r<BR>\n" );
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document.write( "Second row:  Term <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 6x^3,\ \ \"> Coefficient <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 6,\ \ \"> Degree of term <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 3,\ \ \"> Degree of polynomial <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 4\">\r<BR>\n" );
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document.write( "Notice that the degree of the polynomial did not change.  That is because the degree of the polynomial is the degree of the highest degree term in the polynomial.\r<BR>\n" );
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document.write( "I'll let you continue on your own, but here are a couple of tips:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x^1\ =\ x,\ \ \"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x^0\ =\ 1\">, so you can actually re-write your original polynomial like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ -6x^4\ +\ 6x^3\ -\ 6x^2\ +\ 5x^1\ -\ 7x^0\">\r<BR>\n" );
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document.write( "Which might give you a clue as to what to put in the last two rows of your table.\r<BR>\n" );
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document.write( "Lastly, the sign preceeding a term is always part of the coefficient on that term.  If the lead coefficient is positive, a plus sign is understood.\r<BR>\n" );
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document.write( "One final note that has little to do with this problem but will be helpful soon:\r<BR>\n" );
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document.write( "The degree of a term is the SUM of the exponents on variables in the term.  For example:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 7x^2y^4\">\r<BR>\n" );
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document.write( "is degree 6 ( 4 + 2 )\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ 3x^4y\">\r<BR>\n" );
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document.write( "is degree 5\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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