document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=101718>Question 101718</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the difference quotient for f(x)=2x^2-5x-3.  I have absolutely no idea. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #73958 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=73958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the difference quotient for f(x)=2x^2-5x-3.<BR>\n" );
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document.write( "The difference quotient is [f(x+h)-f(x)]/h<BR>\n" );
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document.write( "f(x+h) = 2(x+h)^2 -5(x+h) -3<BR>\n" );
document.write( "= 2x^2+4hx+2h^2-5x-5h-3<BR>\n" );
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document.write( "Subtract f(x) from that to get:<BR>\n" );
document.write( "=4hx+2h^2-5h<BR>\n" );
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document.write( "Divide by h to get:<BR>\n" );
document.write( "=4x+2h-5<BR>\n" );
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document.write( "That is the difference quotient of f(x)=2x^2-5x-3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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