Question

minus root 3 and root 3 are the two zeros of the polynomial 2 x cube + x square - 6 x minus 3 find the remainig 0 of it

Answer 1

Solution:-

Roots of the Given Cubic Equation = +√3 & -√3.

Equation :- 2x³ + x² - 6x - 3

From Cubic Formulas,

Sum Of Zeroes =

$= = > \alpha + \beta + \gamma = \frac{ - b}{a} \\ \\ = = > \sqrt{3} - \sqrt{3} + \gamma = \frac{ - 1}{2} \\ \\ = = > \gamma = \frac{ - 1}{2}$

Hence,

The Other Zero of the Given Cubic Polynomial is -1/2.