Question

use factor theorem
$(x + \sqrt{2} \: \: is \: a \: factor \: of \: (2 \sqrt{2} x {}^{2} + 5x + \sqrt{2}$

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Answer 1

Heya❤

[tex]2 \sqrt{2} x {}^{2} + 5x + \sqrt{2} \\ if \: (x + \sqrt{2} ) \: is \: the \: factor.. \\ then.. \\ x = - \sqrt{2} \\ \\ substitute \: the \: value \: of \: x \: in \: the \: given \: equation \\ \\ 2 \sqrt{2} ( - \sqrt{ 2} ) + 5( -\sqrt{2} ) + \sqrt{2} \\ = - 4 - 5 \sqrt{2} + \sqrt{2} \\ = -4\sqrt{2} - 4 \\ =

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