The quadrature formula \[ \int_0^2 x f(x) \, dx \approx \alpha f(0) + \beta f(1) + \gamma f(2) \] is exact for all polynomials of degree \( \leq 2 \). Then \( 2 \beta - \gamma = \underline{\hspace{1cm}} \).
The quadrature formula \[ \int_0^2 x f(x) \, dx \approx \alpha f(0) + \beta f(1) + \gamma f(2) \] is exact for all polynomials of degree \( \leq 2 \). Then \( 2 \beta - \gamma = \underline{\hspace{1cm}} \).
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Correct Answer: 2
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