Challenging Questions

Mathematics – Compulsory Part

Learning Unit: More about polynomials

Question M0-04-05

Consider \( f(x) = ax^2 + bx + c \) and \( g(x) = 4x^4 – 12x^3 + 13x^2 + hx + k \).

1. Find \( [f(x)]^2 \).
2. If \( g(x) \) can be expressed as \( [f(x)]^2 \), find the values of \( h \) and \( k \).

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