Polynomial Remainder Theorem - MEXT Math B 2018 Scholarship Exam Solution - Problem 1(3)

Problem 1(3) - MEXT Math B 2018 Undergraduate Scholarship Exam Solution Natural Sciences
Polynomial Division Remainder Theorem Algebra

This problem appears at the Qualifying Examinations for Applicants for Japanese Government (MEXT) Scholarships 2018. There are two mathematics exams: one for social sciences (Mathematics A), and another for natural sciences (Mathematics B). This problem is from the 2018 Mathematics (B) questionnaire. The answer key and original questions are linked below.

2020 Exam Questions:
https://www.studyinjapan.go.jp/en/planning/scholarship/application/examination/

2020 Math B Exam Questions:
https://www.studyinjapan.go.jp/ja/_mt/2021/06/2018_ga_math_b.pdf

2020 Math B Exam Answers:
https://www.studyinjapan.go.jp/ja/_mt/2021/06/2018_ga_math_b_ans.pdf

Music:
"Mozart - Eine Kleine Nachtmusik allegro by Advent Chamber Orchestra is licensed under a Attribution-Share Alike 3.0 United States License."
https://freemusicarchive.org/music/Advent_Chamber_Orchestra/Selections_from_the_2005-2006_Season/Advent_Chamber_Orchestra_-_04_-_Mozart_-_A_Little_Night_Music_allegro

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