Final answer:
The zeros of the inequality (x-4)(x+3)(1-x)<0 are the values that cause any of the factors to be zero, which are x = 4, x = -3, and x = 1.
Step-by-step explanation:
The equation given is (x-4)(x+3)(1-x)<0. To find the zeros, we need to identify where the product of these expressions equals zero. As we have a product of three terms, the zeros are the values of x that make any of the individual terms equal to zero.
- x - 4 = 0 leads to x = 4
- x + 3 = 0 leads to x = -3
- 1 - x = 0 leads to x = 1
Therefore, the zeros of the function are 4, -3, and 1.