For the trinomial $101x^2+202x+101$, which factoring method is most effective for this expression, and why?

Quadratic formula, since the coefficients are large prime numbers

AC method, because multiplying $𝑎\cdot 𝑐$ helps identify factor pairs for grouping.

Trial-and-error, since $101$ is prime and limits the number of possible factor pairs.

Factor using the greatest common factor (GCF), since all terms share a common factor of $101$.