Question

what should be substract from 18/(x^2+x-2) to obtain 6/(x+1)(x+2)​

Answer 1

Answer:

Let the polynomial to be subtracted be p(x).

∴x

3

−3x

2

+5x−1−p(x)=2x

3

+x

2

−4x+2

x

3

−2x

3

−3x

2

−x

2

+5x+4x−1−2=p(x)

∴p(x)=−x

3

−4x

2

+9x−3