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

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.
kavitha
Posts: 7
Joined: Thu Feb 27, 2014 3:32 am
Contact:

### 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
Posts: 285
Joined: Sun Dec 14, 2008 11:07 pm
Contact:

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

kavitha wrote: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
Posts: 7
Joined: Thu Feb 27, 2014 3:32 am
Contact:

### 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
Posts: 1687
Joined: Mon Dec 08, 2008 4:22 pm
Contact:

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

kavitha wrote:Please correct, my question is
Find the value of 'm' for which x2+3xy+x+my-m has two linear factors in x and y with integer coefficients.

We can't see your assignment. We can't correct your statement of the exercise.

Meanwhile, what have you done with the instructions you were given earlier? They lead you, step-by-step, to the answer.