The expression you've provided, \( x^2 + 36 \), is a polynomial. If you're looking to factor it, you should know that \( x^2 + 36 \) is a sum of squares. It does not factor over the real numbers because there are no real numbers whose square will equal a negative number, but it can be factored using complex numbers.
The expression can be factored over the complex numbers as follows:
\[ x^2 + 36 = x^2 + 6^2 = (x + 6i)(x - 6i) \]
Here, \( i \) represents the imaginary unit, which is defined as \( i = \sqrt{-1} \).
If you need further assistance, such as solving the equation \( x^2 + 36 = 0 \) or graphing the function, please let me know!