If fourth degree polynomial is divided by a quadratic polynomial, write the degree of the remainder.

If $\mathrm{a}-\mathrm{b}$, $\mathrm{a}$ and $\mathrm{a}+\mathrm{b}$ are zeros of the polynomial $\mathrm{f}\left(\mathrm{x}\right)=2{\mathrm{x}}^3-6{\mathrm{x}}^2+5\mathrm{x}-7$, write the value of $\mathrm{a}$.

If $\mathrm{\alpha }, \mathrm{\beta }$ are the zeros of a polynomial such that $\mathrm{\alpha }+\mathrm{\beta }=-6$ and $\mathrm{\alpha \beta }=-4$, then write the polynomial.