I love solving these problems! Consider the cubic polynomial ax^3 + bx^2 + cx + d=f(x) Now consider the biqaudratic polynoimal g(x) = x^4-f(x) Observe that as g(x) is monic and has roots at 3,-1,2 and -2 Now from Vietas relations a= 2+-2+-1+3 = 2 b =7 c = -8 d=-12 as usual thanks for the problem sir!
I love solving these problems!
Consider the cubic polynomial ax^3 + bx^2 + cx + d=f(x)
Now consider the biqaudratic polynoimal g(x) = x^4-f(x)
Observe that as g(x) is monic and has roots at 3,-1,2 and -2
Now from Vietas relations
a= 2+-2+-1+3 = 2
b =7
c = -8
d=-12
as usual thanks for the problem sir!
Lovely observation