9709 P3 - Jun 2003 - Q4
1443
The polynomial \(x^4 - 2x^3 - 2x^2 + a\) is denoted by \(f(x)\). It is given that \(f(x)\) is divisible by \(x^2 - 4x + 4\).
(i) Find the value of \(a\).
(ii) When \(a\) has this value, show that \(f(x)\) is never negative.
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