Write the polynomial $$ f(x) $$ that meets the given conditions. Answers may vary. Degree 2 polynomial with zeros of $$ 5+6 i $$ and $$ 5-6 i $$. $$ f(x)= $$

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1. Since the polynomial is of degree 2 and has zeros at $$ 5+6i $$ and $$ 5-6i $$, we can express it as
   $$
   f(x) = (x - (5+6i))(x - (5-6i)).
   $$

2. Multiply the factors:
   $$
   f(x) = \bigl[(x-5) - 6i\bigr]\bigl[(x-5) + 6i\bigr].
   $$

3. Recognize the product as a difference of two squares:
   $$
   f(x) = (x-5)^2 - (6i)^2.
   $$

4. Simplify $$ (6i)^2 $$:
   $$
   (6i)^2 = 36i^2 = -36.
   $$
   Thus,
   $$
   f(x) = (x-5)^2 - (-36) = (x-5)^2 + 36.
   $$

5. Expand $$(x-5)^2$$ if desired:
   $$
   (x-5)^2 = x^2 - 10x + 25.
   $$
   So,
   $$
   f(x) = x^2 - 10x + 25 + 36 = x^2 - 10x + 61.
   $$

The final polynomial is
$$
\boxed{f(x) = x^2 - 10x + 61.}
$$
$$ f(x) = x^2 - 10x + 61 $$

Write the polynomial that meets the given conditions. Answers may vary.
Degree 2 polynomial with zeros of and .

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Write the polynomial that meets the given conditions. Answers may vary. Degree 2 polynomial with zeros of and .