Challenging Questions

Mathematics – Compulsory Part

Learning Unit: More about polynomials

Question M0-04-03

Given \( f(x) = x^3 + 2x^2 + 3x + 4 \). Find the remainders when:

1. \( f(x – 1) \) is divided by \( (2x – 1) \).
2. \( [f(x)]^2 \) is divided by \( (x + 1) \).

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