document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=706231>Question 706231</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given g(x)=-4x^2-5x+3, find and simpifly as much as possible...g(x+h)-g(x)/h </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #435031 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=435031\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     given g(x)=-4x^2-5x+3, find and simpifly as much as possible...g(x+h)-g(x)/h<BR>\n" );
document.write( ".<BR>\n" );
document.write( "First, find g(x+h):<BR>\n" );
document.write( "g(x+h)=-4(x+h)^2-5(x+h)+3<BR>\n" );
document.write( "g(x+h)=-4(x+h)(x+h)-5(x+h)+3<BR>\n" );
document.write( "g(x+h)=-4(x^2+2hx+h^2)-5x-5h+3<BR>\n" );
document.write( "g(x+h)=-4x^2-8hx-4h^2-5x-5h+3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "g(x+h)-g(x)/h<BR>\n" );
document.write( "can then be rewritten as:<BR>\n" );
document.write( "[[-4x^2-8hx-4h^2-5x-5h+3] - [-4x^2-5x+3]]/h<BR>\n" );
document.write( "[-4x^2-8hx-4h^2-5x-5h+3 + 4x^2+5x-3]/h<BR>\n" );
document.write( "[-8hx-4h^2-5x-5h+3 + 5x-3]/h<BR>\n" );
document.write( "[-8hx-4h^2-5h+3 -3]/h<BR>\n" );
document.write( "[-8hx-4h^2-5h]/h<BR>\n" );
document.write( "-8h-4h-5<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );