Polynomials, Cubic Equations and Partial Fractions - Polynomial Division and Remainders

TGM Original Questions

When $2x^3 + 7x^2 + mx + n$ is divided by $x^2 + 3x + 2$ the remainder is $5x + 1$
Find $m$ and $n$

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Answer:$m=12,\ n=3$

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