The zero of the linear polynomial $p(x) = \sqrt{3}x - 3$ is ............

$A$ cubic polynomial $p(x) = 4x^3 - x$ has ...... zeros.

Find the zeros of the quadratic polynomial $p(x) = 10x^2 - 14x - 12$ and also find the sum and the product of the zeros of the polynomial.

The product of two polynomials is $x^{2}+8x+15$. If one of the polynomials is $(x+3)$,then the other polynomial is $\ldots \ldots$

Divide $x^{6}+5 x^{3}+7 x+3$ by $x^{2}+2$.

Divide the following by the synthetic division method: $p(x) = x^{3} - 3x^{2} - 3x + 1$ by $x + 1$.