Question

Obtain all Zero of the polynomial
$(2x {}^{3} \: - \: 4x \: - \: x {}^{2} \: + \: 2)$
If two of its zeroes are √2 and - √2

Answer 1

product of zeros
=
$\frac{ - d}{a}$
let x be third root
hence
$\frac{ - d}{a} = x \times \sqrt{2} \times ( - \sqrt{2} )$
$\frac{ - 2}{2} = - 2x \\ - 1 = - 2x \\ x = \frac{1}{2}$

Answer 2

Hope it helps you!!!!!!!!!!