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Let
be an arbitrary polynomial function of degree n

Show that if f(0)=0 then either f is constant or f(x)=xg(x), where g is a polynomial function of degree n-1

I don't know how to start. Please help

Thank you in advance

Code:

` [ tex ]f(x)=\sum_{i=0}^n c_i x^i[ / tex ]`

Show that if f(0)=0 then either f is constant or f(x)=xg(x), where g is a polynomial function of degree n-1

I don't know how to start. Please help

Thank you in advance

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