Find the zeroes of the polynomial $3x^2-4-4x$.

Find the zeroes of the polynomial $4\sqrt{3}{x}^2+5x-2\sqrt{3}$.

Find the zeroes of the quadratic polynomials and verify the relationship between the zeroes and their coefficients.

$3x^2-2x-1$

Find the zeroes of the quadratic polynomials and verify the relationship between the zeroes and their coefficients.

$2x^2+\frac{7x}{2}+\frac{3}{4}$

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and their coefficients.

$x^2+\frac{3}{2}\sqrt{5}x-5$

If the zeroes of the quadratic polynomial $p\left(x\right)=3x^2+\left(2k-1\right)x-5$ are equal in magnitude but opposite in sign, then find the value of $k$.

If one zero of the polynomial $q\left(x\right)=x^2+px+8$ is double the other, then find the value of $p$ and hence both zeroes of $q\left(x\right)$.

Find $k$ if the zeroes $\alpha$, $\beta$ of the polynomial $5x^2+\left(2k+1\right)x+\left(k-2\right)$ are such that $2\alpha +5\beta =1$.