# Know the functioning of the function?

**Algebra**Level 4

Let \(f(x)\) be a polynomial. It is known that for all \(x\),

\[\large f(x)f(2x^2) = f(2x^3+x)\]

If \(f(0)=1\) and \(f(2)+f(3)=125\), find \(f(5)\).

Let \(f(x)\) be a polynomial. It is known that for all \(x\),

\[\large f(x)f(2x^2) = f(2x^3+x)\]

If \(f(0)=1\) and \(f(2)+f(3)=125\), find \(f(5)\).

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