Step 1 :The given equation is in the form of a quadratic equation, which is generally represented as ax^2 + bx + c. Here, 'a' is the coefficient of x^2, 'b' is the coefficient of x, and 'c' is the constant term. So, we need to identify the values of a, b, and c from the given equation.
Step 2 :a = 1
Step 3 :b = 9
Step 4 :c = -64
Step 5 :The coefficients for the trinomial \(x^{2}+9x-64\) are: \[\begin{array}{l} a=\boxed{1} \\ b=\boxed{9} \\ c=\boxed{-64} \end{array}\]