QUESTION 3 Consider the quadrature formula $$ \int_{-4}^{4} f(x) dx=\beta f\left(\alpha_{1} ight)+\beta f\left(\alpha_{2} ight) \text {. } $$ Determine $\alpha_{1}, \alpha_{2}$, and $\beta$ so that this formula is exact for all quadratic polynomials. $\beta$ $a_{1}$ $\alpha_{2}$ CS.VS. 1582|