Final answer:
The zeros of the function g(x) = 2x² + 32 are x = 4i and x = -4i.
Step-by-step explanation:
To find the zeros of the function g(x) = 2x² + 32, we need to solve the equation for x when g(x) = 0.
Setting g(x) = 0, we get:
2x² + 32 = 0
Subtracting 32 from both sides, we have:
2x² = -32
Dividing both sides by 2, we get:
x² = -16
Taking the square root of both sides, we get:
x = ±4i
Therefore, the zeros of g(x) are x = 4i and x = -4i.
Learn more about Finding the zeros of a quadratic function