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Instrumental learning
trial & error is a general method of problem solving, fixing things, or for obtaining knowledge.
Trial and error is a fundamental method of problem solving. It is characterized by repeated varied attempts which are continued until success.SIMPLIFYING FRACTIONSsimplifying fractionsWhen you try to factor a polynomial the most taught method is trial and error. My manipulating the factors you see which terms and coefficients answer the question.
The idea is to find a number which, when cubed, gives you 216. This can quickly be found with trial and error, since 216 happens to be a perfect cube.
The easiest way is to use synthetic division. This cannot be sensibly explained without images. More information here: wikipedia.org/wiki/Synthetic_division The factors can be found by trial and error.