Hello, what are these kind of math problems called

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Numbers 1 & 2 are called quadratic equations. Number 3 is long division of polynomials.
 
This is algebra-precalculus, and if I had to give a general name to all the three problems you're given, I'd say they are problems related to “polynomials.” Otherwise, yes, the first two are quadratic equations and the third one is polynomial division, as Saladsamurai said.