Question
If a and B are the zeroes of the quadratic polynomial p(s) = 3s2  6s + 4, the value of α, β + β α ,71 1) + 2 + α β) + 3αβ is
Solution
Ans: 8
Let a and B are zeroes of quadratic polynomial p(s) = 3s2
 65+4
So, a+b=6) = 2 and a B = 43
Let x= +&+2+1) +30$
aß
We know, a+B2=(a+B122aß=22

w100
4/3
a2 +B2=, +B=2 and aß= 43. So, x=
4/3