What must be subtracted from the polynomial \( f(x)=x^{4}+2 x^{3}-1...

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What must be subtracted from the polynomial \( f(x)=x^{4}+2 x^{3}-13 x^{2}-12 x+21 \) so that the resulting polynomial is exactly divisible by \( x^{2}-4 x+3 \) ?
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