Final answer:
The positive real zeros for the function f(x) = 2x^2 - 9x^3 - 21x^2 + 88x + 48 are x = 0.0216 and x = 1, while the negative real zero is x = -0.0224.
Step-by-step explanation:
To find the positive and negative real zeros of the function f(x) = 2x^2 - 9x^3 - 21x^2 + 88x + 48, we can rearrange it into the quadratic equation 2x^2 - 9x^3 - 21x^2 + 88x + 48 = 0. Next, we can use the quadratic formula to solve for the values of x. Evaluating the equation, we find that the positive real zeros are x = 0.0216 and x = 1, and the negative real zero is x = -0.0224.