Find the integration distance (f, g) = √² f(x)g(a) da between the given polynomials. f(x) = -4x-1, g(x) = 2x+1 d(f, g) = =

The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.

Suppose that f(x) = x² – 5x + 7 has roots a and B. Use symmetric functions to find a + B, aß, a² + B², and a³ + B³.