Mathematics · Complex Analysis
Let P : &complex; → &complex; be defined as P(z) = a0 + a1 z + ... + an-1 zn-1 + zn, where n ≥ 1 and a0, a1, ..., an-1 ∈ &complex;. Which of the following is true?
- 1If P(α) = 0 for some α ∈ &complex;, then P(ᾱ) = 0.
- 2P(&complex;) is contained in some closed ball.
- 3P is an onto function.✓
- 4P is a one-one function.
Correct answer
P is an onto function.
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