Consider the polynomial p(x) defined as:-
p(x)=x4+x3+2x2+3x+1
Let r1,r2,r3,r4 be the roots of p(x) then the value of
⎝⎛i=j∑(1−ri)(1−rj)1⎠⎞(i=1∑41−ri1)
can be expressed as ba where gcd(a,b)=1 find a+b
Details and assumptions:-
I have used the notation ∑((1−ri)(1−rj)1 to represent the sum of all possible products of the form (1−ri)(1−rj)1 taken two at a time and i=j (i think it also called cyclic sum)