Question

find the values of m for which x^2+3xy+x+my-m has two linear factors in X and y with integer coefficient
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Answer 1

We are given an expression \[{{x}^{2}}+3xy+x+my-m\] that has 2 linear factors in x and y with the integer coefficient. Here, we have to find the value of 'm'. So, we get, m = 0 and m = 12. Hence we get 2 values of m that are 0 and 12 such that the given expression would be resolved into linear factors of x and y.