Which of the following is one of the zeros of the polynomial $x^{3}-3x^{2}-5x+15$?

Factorise $x^{2}+4 y^{2}+25 z^{2}+4 x y-20 y z-10 z x$.

State whether the following statement is true or false:
The zero of the polynomial $2x + 3$ is $\frac{3}{2}$.

From the following polynomials,find out which of them has $(x+1)$ as a factor:
$p(x) = x^{3} - 5x^{2} + 2x + 8$

If $x+2a$ is a factor of $x^{5}-4a^{2}x^{3}+2x+2a+3$,find $a$.

Using the remainder theorem,find the remainder when the polynomial $p(x) = x^{3} + x^{2} - 26x + 24$ is divided by the divisor $x - 6$.