59-62. Polynomial composition Determine a polynomial f that satisfies the following properties. (Hint: Determine the degree of f; then substitute a polynomial of that degree and solve for its coefficients.)

\((f(x))^{2}=x^{4}-12 x^{2}+36\)

Step by step solution Step 1 of 2 Find the funct ion (x) that satisfy the relation (f(x)) = x 12x +36.