document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=16724>Question 16724</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with this problem:\r<BR>\n" );
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document.write( "Find the indicated difference quotient and simplify answer.\r<BR>\n" );
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document.write( "Given f(x) = x^2 = 5x + 1\r<BR>\n" );
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document.write( "find f(5 + h) - f(5) over h\r<BR>\n" );
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document.write( "what I did:<BR>\n" );
document.write( "1. f(5+h) = (5+h)^2 + 5(5+h) +1<BR>\n" );
document.write( "=(5+h)(5+h) + 5(5+h) +1<BR>\n" );
document.write( "=25 +5h +5h +h^2 +25 +5h + 1<BR>\n" );
document.write( "=51 + 15h +h^2\r<BR>\n" );
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document.write( "2. f(5+h) - f(5) = 51 + 15h + h^2 - 5^2 + 5(5) + 1<BR>\n" );
document.write( "= 51 + 15h + h^2 - 25 + 25 + 1<BR>\n" );
document.write( "= 52 + 15h + h2\r<BR>\n" );
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document.write( "3. f(5+h) - f(5) over h = 52 + 15h + h^2 over h\r<BR>\n" );
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document.write( "The teacher's answer is 15 + h<BR>\n" );
document.write( "Where did I go wrong?<BR>\n" );
document.write( "Please help!<BR>\n" );
document.write( "Thanks,<BR>\n" );
document.write( "Sandy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #8187 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=8187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In step 2, you made the most common error in this type of problem.  When you do f(5+h) - f(5), be sure to minus the quantity of f(5)!!\r<BR>\n" );
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document.write( "It should look like this with extra parentheses added:<BR>\n" );
document.write( "   f(5+h) - f(5) = 51 + 15h + h^2 - (5^2 + 5(5) + 1)<BR>\n" );
document.write( "= 51 + 15h + h^2 - (25 + 25 + 1)<BR>\n" );
document.write( "=  15h + h2 <BR>\n" );
document.write( "3. f(5+h) - f(5) over h =  (15h + h^2) over h, which comes out to <BR>\n" );
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document.write( "The teacher's answer which is 15 + h\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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