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Euclid R2Drew2 Edition Paper 1 · Q13

Paper 1Algebra

For x>0x>0, define

F(x)=x4+4x2+1x4+2x3+3x2−2x+1.F(x)=\frac{x^4+4x^2+1}{x^4+2x^3+3x^2-2x+1}.

What is the least possible value of F(x)F(x)?

A1013\frac{10}{13}
B45\frac45
C11
D22
E34\frac34
F65\frac65

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