Express the polynomial f (x) in terms of elementary symmetric polynomials.x_1^3+x_2^3+x_3^3-x_1x_2x_3

vestirme4

vestirme4

Answered question

2021-09-15

Express the polynomial f (x) in terms of elementary symmetric polynomials.
x13+x23+x33x1x2x3

Answer & Explanation

Benedict

Benedict

Skilled2021-09-16Added 108 answers

The polynomial is given as.
x13+x23+x33x1x2x3
now to convert this to elementary symmetric polynomial platting.
(x1+x2+x3)=e1,x1x2,x3=e2
(x1+x2)(x2+x3)(x3+x1)=e3
we will get.
x13+x23+x33x1x2x3
=(x1+x2+x3)33(x1+x2)(x2+x3)(x3+x1)x1x2x3
=e133e3e2

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