Examine whether the following polynomials have common zero(s) or not:

$12\left(x^2-9\right)$ and $18\left(x^2+2x-15\right)$

Examine whether the following polynomials have common zero(s) or not:

${\left(x+2\right)}^2\left(x-1\right)$ and $25\left(x^2+3x-10\right)$

Examine whether the following polynomials have common zero(s) or not:

$3{\left(x+2\right)}^2, x^2-4x-12$ and $5x\left(x^2-4\right)$

Examine whether the following polynomials have common zero(s) or not:

$16{\left(x+1\right)}^2, 24\left(x^2-3x-18\right)$ and $36\left(x^2-6x+8\right)$

Find the common zero(s) of the following polynomials:

$x^2-x$ and $x^2-3x+2$

Find the common zero(s) of the following polynomials:

$x^2-9$ and $x^2-5x+6$

Find the common zero(s) of the following polynomials:

$x^2+6x+8$ and $x^2-4x-12$

Find the common zero(s) of the following polynomials:

$2x^2+7x+3$ and $x^2+x-6$

Find the common zero(s) of the following polynomials:

$x^3+2x^2$ and $x^3+x^2-2x$