If ; and for each 'p'

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

f(x) = x^3 - 12x + p

;

p \in \{1, 2, 3, \dots, 15\}

and for each 'p', the number of real roots of equation

f(x) = 0

is denoted by

\theta

, the

\frac{1}{5} \sum \theta

is equal to .....