If `sqrt2` is a zero of `p(x)=6x^3 +sqrt2x^2- 10x -4sqrt2 ,` find the remaining zeros

Explanation

To find the remaining zeros of the polynomial \( p(x) = 6x^3 + \sqrt{2}x^2 - 10x - 4\sqrt{2} \) given that \( \sqrt{2} \) is one of its zeros, we will use polynomial long division to divide \( p(x) \) by \( x - \sqrt{2} \).

### Step 1: Set up the long division
We will divide \( p(x) \) by \( x - \sqrt{2} \).

### Step 2: Divide the leading term
The leading term of \( p(x) \) is \( 6x^3 \). We divide this by the leading term of \( x - \sqrt{2} \), which is \( x \):
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