The roots of the equation $3x^5+6x^4-2x^3+x^2-5x+9=0$ are $r_1,\ r_2,\ r_3,\ r_4,\ r_5$. Write d

Question

The roots of the equation $3x^5+6x^4-2x^3+x^2-5x+9=0$ are $r_1,\ r_2,\ r_3,\ r_4,\ r_5$. Write down the sum of the roots, the sum of the products of pairs of roots, and the product of all five roots.

Accepted Answer

$-2,\ -\frac{2}{3},\ -3$

Sum and product for a quintic

Sum and product for a quintic

Solution:

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