## x2+3xy+x+my-m

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.
kavitha
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### x2+3xy+x+my-m

Hi,

Find the value of 'm' for which x2+3xy+x+my-m has two linear factors in x and y with integer coefficients.

Thanks,
Kavitha
Last edited by kavitha on Mon Mar 03, 2014 3:47 pm, edited 1 time in total.

nona.m.nona
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### Re: x^2+3xy+x+my-m

Find the value of 'm' for which x^2+3xy+x+my-m has two linear factors in x and y with integer coefficients.
One might start with the polynomial multiplication which generated the given polynomial. Since you are given that the factors were linear and since there is no y^2 term, then the factors must be of the form x + ay + b and x + c. What can one find upon comparison of coefficients?

kavitha
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### Re: x2+3xy+x+my-m

Find the value of 'm' for which x2+3xy+x+my-m has two linear factors in x and y with integer coefficients.

Thanks,

stapel_eliz
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