Final answer:
To find the zeros of the function h(x) = -5x^2 + 180, we need to solve the equation -5x^2 + 180 = 0. The zeros of the function are x = 6 and x = -6.
Step-by-step explanation:
To find the zeros of the function h(x) = -5x^2 + 180, we need to solve the equation -5x^2 + 180 = 0.
Let's set the equation equal to zero and solve for x:
-5x^2 + 180 = 0
Now, divide both sides of the equation by -5 to get:
x^2 - 36 = 0
Next, we can factor the equation as (x - 6)(x + 6) = 0.
Setting each factor equal to zero, we get:
x - 6 = 0 or x + 6 = 0
Solving for x in each equation, we find the zeros to be x = 6 and x = -6.