Q86Section C (Part C)86 of 120

Endomorphisms of $\mathbb Q[X]$

Let $f:\mathbb Q[X]\longrightarrow\mathbb Q[X]$ be a ring homomorphism with $f(1)=1$ . For $n\ge1$ , let $f^n=\underbrace{f\circ\cdots\circ f}_{n\text{ times}}$ . Which of the following statements are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

Keyboard: A–D answer · S solution · ←/→ previous/next