Final answer:
To find the zeros of the function h(x), set h(x) equal to zero and solve for x. The zeros are approximately -3.03, 1.47, and -0.14.
Step-by-step explanation:
The question is asking for the zeros of the function h(x), which are the values of x that make h(x) equal to zero. To find the zeros, we set h(x) equal to zero and solve for x.
So, we have the equation 5x³+x²-20x-4 = 0.
Unfortunately, this equation does not have any rational zeros, so we will need to use a numerical method such as graphing or using a calculator to find the zeros. By graphing the given function or inputting the equation into a graphing calculator, we can determine that the zeros of the function h(x) are approximately -3.03, 1.47, and -0.14.