Final answer:
The zeros of the function f(x) = -3x² + 75 are x = -5 and x = 5.
Step-by-step explanation:
To find the zeros of the function f(x) = -3x² + 75, we set f(x) equal to zero and solve for x:
0 = -3x² + 75
Adding 3x² to both sides gives:
3x² = 75
Dividing both sides by 3 gives:
x² = 25
Taking the square root of both sides gives:
x = ±5
The zeros of the function are x = -5 and x = 5.