Find the roots of the following polynomial equation

$5x-3=0$

Find the roots of the following polynomial equation

$9x^2-4=0$

Find the roots of the following polynomial equation

$5x^2-9=0$

Find the roots of the following polynomial equation

$\left(x-1\right)\left(3x+2\right)=0$

Find the roots of the following polynomial equation

$\left(x+2\right)\left(x-3\right)\left(2x-7\right)=0$

Find the integral zeroes of $4x^3+20x^2-x-5$.

Show that the polynomial $3x^3+8x^2-1=0$ has no integral zeroes.

Show that the polynomial $x^2+2x+7$ has no zeroes.