Final answer:
To find the zeros of a function, set the function equal to zero and solve for x. The given function can be solved using numerical methods.
Step-by-step explanation:
The zeros of a function are the values of x for which the function equals zero. To find the zeros of the function h(x) = 2x³ + 5x² + 12x + 5, we can set the function equal to zero and solve for x:
2x³ + 5x² + 12x + 5 = 0
Unfortunately, the given function cannot be factored easily. So, we can use numerical methods, such as graphing or using a calculator to find the zeros of the function.