- #1

sid_galt

- 502

- 1

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f(1) = 1

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f(2) = 100

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f(3) = 45

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f(4) = 9000

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f(5) = 999

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[tex]

f(6) = 46

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f(7) = 47

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f(8) = 48

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f(9) = 59

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f(10) = 60

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Is f(x) expressible in the form

[tex]

f(x)=a_nx^n+a_{n-1}x^{n-1}...a_1x+a_0

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or perhaps

[tex]

f(x)=(a_nx^n+a_{n-1}x^{n-1}...a_1x+a_0)(b_ny^n+b_{n-1}y^{n-1}...b_1y+b_0)

[/tex]

Why? Why not?

If it is, is there any way to find it?