TxO Math Bowl 2024 - Individuals A - Problem 4


Let P(x)P(x) be a degree 55 polynomial with a leading coefficient of 11 and real coefficients. P(x)P(x) has complex roots 3+4i3+4i and 4i4-i, and a remainder of 600600 when divided by (x1)(x-1). Evaluate P(2)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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