TxO Math Bowl 2024 - Individuals A - Problem 4

Let $P(x)$ be a degree $5$ polynomial with a leading coefficient of $1$ and real coefficients. $P(x)$ has complex roots $3+4i$ and $4-i$ , and a remainder of $600$ when divided by $(x-1)$ . Evaluate $P(2)$ .

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Problem Tags: Algebra

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Category: TxO Math Bowl Individual Round
Points: 3
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