Question

Find all other zeroes of polynomial p(x)=x⁴-3√2x³+3x²+3√2x-4 if its two zeroes are√2,-√2

Answer 1

$x = \sqrt{2} \: \: \: \: x = - \sqrt{2} \\ x - \sqrt{2} = 0 \: \: \: \: x + \sqrt{2} = 0 \: \\ (x - \sqrt{2} )(x + \sqrt{2} ) \\ {x}^{2} - 2$

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