document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189698>Question 189698</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help with this. i am so lost.  Thank You\r<BR>\n" );
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document.write( "1.Explain the difference between a constant and a variable. (ii) Explain the difference between a constant term and a coefficient. (iii) Explain the difference between a term and a factor. Use examples to support your explanations.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142363 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=142363\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Let's look at your entire question from the point of view of one example:\r<BR>\n" );
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document.write( "Example:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  y = ax^2 + bx + c\">\r<BR>\n" );
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document.write( "The parts of the example:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  ax^2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  bx\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  c\">\r<BR>\n" );
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document.write( "are all <i>terms</i>\r<BR>\n" );
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document.write( "Terms are composed of <i>factors</i>\r<BR>\n" );
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document.write( "The <i>factors</i> of the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE ax^2\"> term are <i>a</i> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^2\"> which is just <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\,\cdot\,x\"> which has factors <i>x</i> and <i>x</i>.\r<BR>\n" );
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document.write( "The <i>factors</i> of the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE bx\"> term are <i>b</i> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^1\">, which is simply <i>x</i>.\r<BR>\n" );
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document.write( "The <i>factors</i> of the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE c\"> term are <i>c</i> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^0\"> which is equal to 1 no matter what the value of <i>x</i> is.\r<BR>\n" );
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document.write( "<i>a</i>, <i>b</i>, and <i>c</i> are also called coefficients.  In the example, <i>a</i> is called the lead or high-order coefficient, <i>b</i> is the first degree or linear coefficient, and <i>c</i> is the constant coefficient.\r<BR>\n" );
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document.write( "<i>c</i> is also the constant term, whereas <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE ax^2\"> is the 2nd degree or high-order term, and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE bx\"> is the 1st degree term.\r<BR>\n" );
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document.write( "So, if you had:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  y = 3x^3 - 2x^2 + 15\">\r<BR>\n" );
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document.write( "You could also write this as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  y = 3x^3 - 2x^2 +0x^1 + 15x^0\">\r<BR>\n" );
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document.write( "Now:\r<BR>\n" );
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document.write( "The four terms are:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  3x^3\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  - 2x^2\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  0x^1 = 0\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \  15x^0 = 15\">\r<BR>\n" );
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document.write( "The factors of the high-order (3rd degree) term are 3 and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^3\"> and the coefficient is 3\r<BR>\n" );
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document.write( "The factors of the 2nd degree term are -2 and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^2\"> and the coefficient is -2\r<BR>\n" );
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document.write( "The factors of the 1st degree term are 0 and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^1 = x\"> and the coefficient is 0\r<BR>\n" );
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document.write( "The factors of the constant term are 15 and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x^0 = 1\"> and the coefficient and the constant are 15.\r<BR>\n" );
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document.write( "In all of this <i>x</i> is a variable, specifically the <i>independent</i> variable.  That means you put in values for <i>x</i> and let <i>y</i> happen.  As you might expect, <i>y</i> is the <i>dependent</i> variable because the value of <i>y</i> is dependent upon the value of <i>x</i>.\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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