Final answer:
To find the zeros of the polynomial, we can use the quadratic formula.
Step-by-step explanation:
This is a quadratic equation in the form ax² + bx + c = 0. We can solve it using the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
For the given equation, p(x) = (x-2)² - (x+2)², we have a = 1, b = -4, and c = -4. Plugging these values into the quadratic formula will give us the zeros of the polynomial.