The sum of the zeros of $p(x) = 4x^2 + 12x + 5$ is.........

Are the following statements 'True' or 'False'? Justify your answers.
If all the zeroes of a cubic polynomial are negative,then all the coefficients and the constant term of the polynomial have the same sign.

Divide $2 t^{4}+3 t^{3}-2 t^{2}-9 t-12$ by $t^{2}-3$.

Find the zeroes of the following polynomial by the factorisation method and verify the relationship between the zeroes and the coefficients of the polynomial: $4x^{2} + 5\sqrt{2}x - 3$

If the sum of the zeros is $-3$ and the product of the zeros is $-4,$ then the quadratic polynomial is $\ldots \ldots \ldots$

State the degree of the given polynomial: $p(x) = x^{2} - \sqrt{3}x^{3} + 4x^{7} + 9$.