an irreducible problem?

Question

K be field,K(x) field of rational functions in x.Let t in K(x) of form P(x)/Q(x), Q(x) non zero.
1) Show polynomial P(X)- t Q(X) in variable X and coeffients in K(t) is irreducible over K(t) and x is a root

2)Show degree of P(X)- t Q(X) as a polynomial in X with coefficients in K(t) is maximum of degrees of P(x) and Q(x).

Answer 1

You didn't state that very well.

First of all, there were a number of minor typos and grammatical errors, which cause confusion.

Second, I suspect there was a major typo, since you seem to be suggesting that t = P/Q, yet P-Qt is not 0.

Please try again.