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`        WHAT ARE "SYMMETRIC FUNCTIONS OF ROOTS"?`
7 years ago

SAGAR SINGH - IIT DELHI
879 Points
```										Dear student,
[i.e. if f(a,b) = f(b,a)].
Some of the symmetric functions of a and b are

All symmetric functions of a and b can be expressed in terms of two symmetric functions a+b and ab.
For instance,

All the best.
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Sagar Singh
B.Tech, IIT Delhi

```
7 years ago
Aiswarya Ram Gupta
35 Points
```										A function of the roots of am equation, which remains unaltered when any two of the roots are interchanged is called Symmetric function of the roots.
If a,b,c are the roots of an equation of degree 3, then we use the following notation.
∑a = a + b + c + d
∑ 1/a =1/a + 1/b + 1/c + 1/d
∑ ab = ab + bc + cd + da + bd + ac∑ a2 = a2 + b2 + c2 + d2
∑ a2b = a2b + b2a + b2c+ c2b+ c2a+ a2c+a2d+a d2 +b2 d+b d2 +c2d+ d2c
∑ a / b = a / b + b /  a + a / c + c / a + a / d + d / a + b / d + d / b + b / c + c / b + c / d +d / c
```
7 years ago
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