Can you solve any Factoring problem with the Quadratic Formula and any Quadratic Formula problem by Factoring?

You can solve any quadratic using the quadratic formula, including those that can be factored. You cannot factor every quadratic over the rationals or even the rules so no to the second part.

"any" factoring problem? no. what if the terms are higher in power than x squared?

"any" quadratic formula problem by factoring? no. factoring is tres dificile when the roots are irrational

You must not understand it if you're asking this question.