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HKIMO 2018 THPT (Grades 10–12 shared) National Final (Heat) Set 03 Question 6

HKIMO · HKIMO 2018 THPT (Grades 10–12 shared) National Final (Heat) Set 03

Question 6

If $2x^4-19x^3+mx^2-nx+36$ is divisible by $x^2-4x+3$, find m+n.