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James Chen TMUA Paper 1 · Q19

Paper 1Logic & proofAlgebra

Let f(x)f(x) be the only degree 5 polynomial where the coefficient of x5x^5 is 11 and the following equations are true:

f(1)=5f(2)=4f(3)=3f(4)=2f(5)=1\begin{aligned} f(1)&=5\\ f(2)&=4\\ f(3)&=3\\ f(4)&=2\\ f(5)&=1 \end{aligned}

What is the value of f(6)f(6)?

A00
B66
C3030
D3636
E7272
F120120

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