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Deductive reasoning.
Set up two brackets with m in each. Since the sentence is plus k, the signs will either be two pluses or two minuses. Since the middle term is minus, it can't be two pluses.
(m - ?)(m - ?) Now you're looking for terms that will add to minus 4. There are three that work. -4,0, -3,-1 and -2,-2
(m - 4)(m - 0)
(m - 3)(m - 1)
(m - 2)(m - 2)
Using the FOIL method, we see that K has to be 0, 3 or 4

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Q: How do you find all the integer values of k so that this trinomial can be factored M to the 2 minus 4M plus K?
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