Suppose f(x)=αx^2+βx+γ

Question

is a general quadratic polynomial with α≠0 and let [a,b] be any interval. According to the Mean Value Theorem there is at least one number c such that f(b)−f(a)=f′(c)(b−a).

In this particular case the number c is unique and it's independent of the coefficients of f.

c=____

Your answer will be in terms of a and b.

Answer 1

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