Question

obtain all zeroes of the polynomials(2x^3_4x_x^2)​

Answer 1

QUESTION :-

$obtain \: all \: the \: zeroes \: of \: the \: equation \: 2 {x}^{3} - 4x - {x}^{2}$

ANSWER :-

$x = 0, \frac{1 + \sqrt{33} }{4} , \frac{1 - \sqrt{33} }{4}$

STEP BY STEP EXPLAINATION:-

$2 {x}^{3} - 4x - {x}^{2} = 0 \\ \\ x(2 {x }^{2} - 4 - x) = 0 \\ \\ x = 0 \: or \: x = - b \: + or - \frac{ \sqrt{ {b}^{2} - 4ac} }{2a} \\ \\ x = 0 \: \\ or \: x = 1 + \frac{ \sqrt{33} }{4} \\ or \: x = 1 - \frac{\sqrt{33}}{4}$

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