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find the values of ‘m’ for which x 2 + 3xy +x+my-m has two linear factors in x and y with integer coefficient.

find the values of ‘m’ for which x2  + 3xy +x+my-m has two linear factors in x and y with integer coefficient.

Grade:12

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
5 years ago
Dear Student,

From the given two degree equation, we can write that:
x2 + 3xy + x +my -m = (ax+by+c)(dx+e)
Now multiply the two factors on RHS and equate the coefficient on both the sides.

On compairing you will directly get the value of m.

Thanks.

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