Question

Answer 1

`P(x^2-2x)=(P(x-2))^2`

`<=>P.x.(x-2)=P^2(x-2)^2`

`<=>x=P(x-2)`

`<=>P=x/[x-2]`    `(x \ne 2)`

    `=>P(x)=x/[x-2]`

Answer 2

=>P(x^2-2x)=P^2*(x-2)^2

=>(x^2-2x)=P(x-2)^2

=>P=(x^2-2x)/(x-2)^2