Challenging Questions

Mathematics – Compulsory Part

Learning Unit: More about polynomials

Question M0-04-04

When a polynomial \( f(x) \) is divided by \( (x – 1) \), \( (x – 2) \), and \( (x – 3) \), the remainders are \( 3, 1 \), and \( 3 \) respectively. Find the remainder when \( f(x) \) is divided by \( g(x) \), where \( g(x) = x^3 – 6x^2 + 11x – 6 \).

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