Challenging Questions

Mathematics – Compulsory Part

Learning Unit: More about polynomials

Question M0-04-06

Consider \( f(x) = 6x^4 – 19ax^3 + 13a^2x^2 + 4a^3x – 4a^4 \).

1. Show that \( (x – 2a) \) is a factor of \( f(x) \).
2. Factorize \( f(x) \).
3. Hence, solve \( f(x) = 0 \).

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