# Zeroes of a polynomial function

Algebra Level pending

Consider the following polynomial function:

$f(x) = x^{n}-2x^{4}-6x^{3}+x^{2}+5x+1$

If $$n$$ is an integer. Which value of $$n$$ makes the polynomial function contain the least amount of zeroes?

Find $$nb$$, where $$b$$ is the least amount of zeroes.

Note: Polynomial functions cannot have negative exponents, that is one of the rules of polynomials.

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