Maths Olympiad Prep

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, 2004

Algebra Difficulty 3.0 AMC 10/12 Prove it Canada

The roots of (x4)(3x2x2)=0(x-4)(3x^2 - x - 2) = 0 are each increased by 1. Find an equation that has these new numbers as roots.

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.