[ Properties of polynomial coefficients]

Find the sum of all coefficients of the polynomial $\left(x^{2}-3 x+1\right)^{100}$ after expanding the brackets and combining like terms.

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The sum of the coefficients of a polynomial is equal to the value of the polynomial at $x=1$.

## Solution

This sum is equal to the value of the polynomial at $x=1$, that is, $(1-3 \cdot 1+1)^{100}=1$.

## Answer

1.