Verify whether the following are zeroes of the polynomial indicated against them.

$p\left(y\right)=2y^2+5y-3$ at $y=-\frac{1}{2}$

$p\left(z\right)=z^2+z-6$ at $z=-3$

$p\left(x\right)=2x^3-3x^2+5x-1$ at $x=1$

$p\left(x\right)=2x^3-9x^2+x+12$ at $x=\frac{3}{2}$.

$p\left(x\right)=2x^3-13x^2+17x+12$ at $x=2, -3$.

$p\left(x\right)=2x^3-3x^2+7x+6$ at $x=1, \frac{1}{2}$.