In what cases can you factorize a square trinomial?

Question

Mathematics

Is it always possible to factorize the form a(x - x1)(x - x2) a square trinomial? For example, if it is all multiplied by a number, or a bracket. Or if this trinomial is in the denominator of a fraction?

Answer 1

In what cases can you factorize a square trinomial?

Upon reaching the age of 16+

For example, if it is all multiplied by a bracket.

On the right bracket or on the left? (actually don't care)

Or if this trinomial is in the denominator of a fraction?

Yes.
zy Vieta's Theorem pass at school. But apparently not all.