My teacher told to assume (n-k) as a zero of the polynomial
]]>I suggest you check the question. If it started " x + k is a factor....." then that result can be found using Nehushtan's method.
If we maintain (n-k) then since both quadratics must have factors of the form (x - a) and (x - b) that suggests x = n or x = k. The problem then de-generates and certainly doesn't give that result.
Bob
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and then and .]]>