1.10.22 Polynomials

Condition: a) the sum of the two roots of the equation \ (2 x^{3} -x^{2}-\) \ (-7 x+\ lambda = 0 \) is 1. Determine \ (\ lambda \). b) the equation \ (x^{2}+p x+q = 0 \), the roots of which \ (a \) and \ (\ beta \) are given. 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) \]