Sum of Roots and Product of Roots

Example

The roots of 2 x 2 + 3 x 1 = 0   are α and β.  Find the values of
(a) ( α + 1 ) ( β + 1 )
(b) 1 α + 1 β
(c) α 2 β + α β 2
(d) α β + β α
       [Clue: α 2 + β 2 = ( α + β ) 2 2 α β   ]




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