QuestionFactor completely. If not factorable, write Prime. $$x^{2}+1=$$ $\square$
Question 14

Studdy Solution
Consider complex number factorization.
The expression $x^2 + 1$ can be factored over the complex numbers as:
$$x^2 + 1 = (x - i)(x + i)$$
where $i$ is the imaginary unit, defined by $i^2 = -1$.
The complete factorization over the complex numbers is:
$$\boxed{(x - i)(x + i)}$$
If only real factorization is considered, the expression is:
$$\boxed{\text{Prime}}$$