which correctly factored form f(x)=36x^2+15x-6 can be used to identify the zeros
The correctly factored form of f(x)=36x^2+15x-6 is f(x)=(4x-1)(9x+6).
To identify the zeros of the function, we set f(x) equal to zero:
(4x-1)(9x+6) = 0
Setting each factor to zero:
4x-1 = 0 or 9x+6 = 0
Solving for x:
4x = 1 or 9x = -6
x = 1/4 or x = -2/3
The zeros of the function are x = 1/4 and x = -2/3.