AQA FP2 June 14
The roots of the equation
z³ + 2z²+3z-4=0
are x, ß and y.
(2x)
(a) (i) Write down the value of x +B+y and the value of xß+By+ya.
(c)
8.
(ii) Hence show that a² + 3² + y² = -2.
(b)
Find the value of:
(i) (x+B)(B+y)+(B+y)(y+a) + (y + a)(a + B);..
221012
(ii) (a +B)(B+y)(y + a).

c) Find a cubic equation whose roots are a +ß. ß+y and y + x.