2022 AMC 10B Problems/Problem 21
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Problem
Let be a polynomial with rational coefficients such that when is divided by the polynomial , the remainder is , and when is divided by the polynomial , the remainder is . There is a unique polynomial of least degree with these two properties. What is the sum of the squares of the coefficients of that polynomial?
Video Solution
~Steven Chen (Professor Chen Education Palace, www.professorchenedu.com)