Let's say you have ten numbers(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

f(1) = 1

[/tex]

[tex]

f(2) = 100

[/tex]

[tex]

f(3) = 45

[/tex]

[tex]

f(4) = 9000

[/tex]

[tex]

f(5) = 999

[/tex]

[tex]

f(6) = 46

[/tex]

[tex]

f(7) = 47

[/tex]

[tex]

f(8) = 48

[/tex]

[tex]

f(9) = 59

[/tex]

[tex]

f(10) = 60

[/tex]

Is f(x) expressible in the form

[tex]

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

[/tex]

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?

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# Question in algebra

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