Question 1060577
{{{f(x) = -2x^2 - 5x + 3}}}



{{{f(x+h) = -2(x+h)^2 - 5(x+h) + 3}}}



{{{f(x+h) = -2(x^2+2xh+h^2) - 5(x+h) + 3}}}



{{{f(x+h) = -2x^2-4xh-2h^2 - 5x-5h + 3}}}



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{{{(f(x+h)-f(x))/h = ((-2x^2-4xh-2h^2 - 5x-5h + 3)-(-2x^2-5x+3))/h}}}



{{{(f(x+h)-f(x))/h = (-2x^2-4xh-2h^2 - 5x-5h + 3+2x^2+5x-3)/h}}}



{{{(f(x+h)-f(x))/h = (-4xh-2h^2-5h)/h}}}



{{{(f(x+h)-f(x))/h = (h(-4x-2h-5))/h}}}



{{{(f(x+h)-f(x))/h = -4x-2h-5}}}