Write a polynomial function fx whose coefficients have

Question

1. Identify the possible rational roots for the equation x⁴ - 3x2 + 6 = 0.

2. Explain why the Integral Root Theorem is a corollary to the Rational Root Theorem.

3. Write a polynomial function f(x) whose coefficients have three sign changes. Find the number of sign changes that f(x) has. Describe the nature of the zeros.