How do you find the rational zeros of a function such as f(x)= (x^4)-49x^2

Question

I hve to find the rational zeros of the equation.

Answer 1

Solve (x⁴) - 49x² = 0 for rational zeros.

Factor out x²,

x²(x² - 7²) = 0

x²(x+7)(x-7) = 0

Answer: x = 0,-7, 7