Find all zeros of the polynomial `2x^4+7x^3-19 x^2-14 x+30 ,` if two of its zeros are `sqrt(2)a n d-sqrt(2)` .

Explanation

Polynomial : `2 x^{4}+7 x^{3}-19 x^{2}-14 x+30`


`\sqrt{2}` and `-\sqrt{2}` are the zeroes of the polynomial


`\Rightarrow {x}^{2}-2` divides the given polynomial


`.x^{2}-2) \overline{2 x^{4}+7 x^{3}-19 x^{2}-14 x+30}(2 x^{2}+7 x-15.`


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