SOLUTION: Find a positive value for k for which the polynomial can be factored. x^2-ky+29

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Question 376726: Find a positive value for k for which the polynomial can be factored. x^2-ky+29
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
There's a little catch here: IF you're looking for the the factorization of
x%5E2-kx%2B29 into linear factors having INTEGER COEFFICIENTS, then there are only two answers: k = 30 or -30.
But if you allow factorization with REAL COEFFICIENTS, then the discriminant b%5E2+-+4ac would yield k%5E2+-+116%3E=0, so that k should come from the set ( 2sqrt%2829%29, infinity).