Page "learned" Paragraph 277

For each i, let Af.

Since Af are distinct prime polynomials, the polynomials Af are relatively prime ( Theorem 8, Chapter 4 ).

Thus there are polynomials Af such that Af.

Note also that if Af, then Af is divisible by the polynomial p, because Af contains each Af as a factor.

We shall show that the polynomials Af behave in the manner described in the first paragraph of the proof.