Final answer:
To find the zeros of the function f(x) = 4(x^2 - 3x - 10)(x - 6), set each factor equal to zero and solve. So the zeros of the function are x = -2, x = 5, and x = 6.
Step-by-step explanation:
To find the zeros of the function f(x) = 4(x^2 - 3x - 10)(x - 6), we need to solve the equation f(x) = 0. First, we set each factor equal to zero:
x^2 - 3x - 10 = 0 ==> (x - 5)(x + 2) = 0
x - 6 = 0 ==> x = 6
So the zeros of the function are x = -2, x = 5, and x = 6.