If every non-zero f in a plane M has ord f ≤ N − 2 and deg f ≥ N + 2, the pencils (1, X² + αX) and (X + β, X² + γX), β ≠ 0, carry no three free factors in H_N + M

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If every non-zero f in a plane M has ord f ≤ N − 2 and deg f ≥ N + 2, the pencils (1, X² + αX) and (X + β, X² + γX), β ≠ 0, carry no three free factors in H_N + M · Prove2Me