Final answer:
To find the original polynomial function with the given zeros of x = 2, 3, -4, we set up the equation using the factored form and expand it to get the polynomial function.
Step-by-step explanation:
The given zeros of x = 2, 3, -4 can be used to work out the original polynomial function. To do this, we need to set up the equation in the form (x - a)(x - b)(x - c) = 0, where a, b, and c are the zeros. So, our equation would be (x - 2)(x - 3)(x + 4) = 0. Expanding this equation gives us the original polynomial function: x^3 - 5x^2 - 2x + 24 = 0.