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2023 SSMO Relay Round 2 Problems/Problem 1

Revision as of 21:28, 15 December 2023 by Pinkpig (talk | contribs) (Created page with "==Problem== Consider the cubic polynomial <math>P(x)=ax^3+bx^2+cx+d</math>, where <math>a,b,c,d</math> are single-digit integers, which has roots of approximately <cmath>x \ap...")
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Problem

Consider the cubic polynomial $P(x)=ax^3+bx^2+cx+d$, where $a,b,c,d$ are single-digit integers, which has roots of approximately \[x \approx -0.9518399, 0.2055095, 1.460616.\] Compute $|f(3)|$.

Solution

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