If $\alpha$ and $\beta$ are the zeros of the quadratic polynomial, $p\left(y\right)=5y^2-7y+1$, find the value of $\frac{1}{\alpha }+\frac{1}{\beta }$.

$\alpha$ and $\beta$ are the zeros of the quadratic polynomial $f\left(x\right)=x^2-x-4$. If the value of $\frac{1}{\alpha }+\frac{1}{\beta }-\alpha \beta =k$, then find the value of $4k$.

If $\alpha$ and $\beta$ are the zeros of the quadratic polynomial $f\left(x\right)=x^2+x-2$, find the positive value of $\frac{1}{\alpha }-\frac{1}{\beta }$.

If the sum of the zeros of the quadratic polynomial $f\left(t\right)=k{t}^2+2t+3k$ is equal to their product, find the value of $k$.

If $k=z$ then $-3z=?$

If $\alpha$ and $\beta$ are the zeros of the quadratic polynomial $p\left(x\right)=4x^2-5x-1$, find the value of ${\alpha }^2\beta +\alpha {\beta }^2$.

If ${\alpha }^2\beta +\alpha {\beta }^2=k$, then $-16k=?$

If $\frac{\alpha }{\beta }+\frac{\beta }{\alpha }=k$, then find the value of $-12k$?