Final answer:
To find the zeros of the function h(x) = 4x²+36, set h(x) equal to zero and solve the quadratic equation.
Step-by-step explanation:
To find the zeros of the function h(x) = 4x²+36, we need to set h(x) equal to zero and solve for x. So, we have 4x²+36 = 0. To solve this quadratic equation, we can first subtract 36 from both sides to get 4x² = -36. Then, divide both sides by 4 to get x² = -9. Finally, take the square root of both sides to get x = ±3i, where i is the imaginary unit.
Learn more about Finding zeros of a quadratic function