Finding the Sum of Roots (SOR) and Product of Roots (POR) of a Quadratic Equation (Example)

Example
The roots of $2x^2+3x-1=0$   are α and β.  Find the values of
(a) $(\alpha +1)(\beta +1)$
(b) $\frac{1}{\alpha }+\frac{1}{\beta }$
(c) ${\alpha }^2\beta +\alpha {\beta }^2$
(d) $\frac{\alpha }{\beta }+\frac{\beta }{\alpha }$

[Clue: ${\alpha }^2+{\beta }^2={(\alpha +\beta )}^2-2\alpha \beta$   ]