Question
f(x) and g(x) are monic quadratic polynomials that satisfy the following conditions:
f(x)=0 has real distinct roots a1 and a2.
g(x)=0 has real distinct roots b1 and b2.
{f(b1),f(b2)}={b1,b2}. (set of f(b1),f(b2) is same as b1, b2)
{g(a1),g(a2)}={a1,a2}. (set of f(a1),f(a2) is same as a1, a2)
f(1)g(1)=132.
What is the value of f(2)g(2)?
f(x)=0 has real distinct roots a1 and a2.
g(x)=0 has real distinct roots b1 and b2.
{f(b1),f(b2)}={b1,b2}. (set of f(b1),f(b2) is same as b1, b2)
{g(a1),g(a2)}={a1,a2}. (set of f(a1),f(a2) is same as a1, a2)
f(1)g(1)=132.
What is the value of f(2)g(2)?