1.10.22 Polynomials

condition: a) The sum of two roots of the equation \( 2 x^{3}-x^{2}- \) \( -7 x+\lambda=0 \) is equal to 1. Determine \( \lambda \). b) Given the equation \( x^{2}+p x+q=0 \), the roots of which are \( a \) and \( \beta \). Without solving the equation, calculate the expression \[ \beta^{2}\left(\frac{\alpha^{2}}{\beta}-\beta\right)+\alpha^{2}\left(\frac{\beta^{2}}{\alpha}-\alpha\right) \]