document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183890>Question 183890</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/1559530049/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I need help on understanding Opposites of Polynomials.<BR>\n" );
document.write( "I have an example of one its -5x^2-3x+7 opposite of that is -5x^2--3+-7 which simplifies to -5x^2+3x-7. I dont get how that is the answer, should'nt it just simplify to zero? im lost. please help me<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137973 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=137973\">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( "The opposite polynomial of a polynomial <i>P</i> is the polynomial -<i>P</i> such that:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math P + (-P) = 0\">\r<BR>\n" );
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document.write( "Therefore, the opposite of:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math -5x^2-3x+7\">\r<BR>\n" );
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document.write( "is <i><b>not</b></i>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math -5x^2--3+-7\">\r<BR>\n" );
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document.write( "Rather it is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math -1(-5x^2-3x+7) = (-1)(-5x^2)+(-1)(-3x)+(-1)(7)=5x^2 + 3x -7\">\r<BR>\n" );
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document.write( "Now if you add your polynomial and its opposite, the result will be zero.\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" );
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