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

Explanation

To find all the zeros of the polynomial \( p(x) = 2x^4 + 7x^3 - 19x^2 - 14x + 30 \), given that two of its zeros are \( \sqrt{2} \) and \( -\sqrt{2} \), we can follow these steps:

### Step 1: Identify the factors from the given roots
Since \( \sqrt{2} \) and \( -\sqrt{2} \) are roots, we can form a quadratic factor from these roots:
\[ (x - \sqrt{2})(x + \sqrt{2}) = x^2 - 2 \]

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