The product of the zeros of $p(x) = 4x^{2} + 12x + 5$ is..........

Find the zeros of the following quadratic polynomial: $p(x)=\sqrt{3} x^{2}-8 x+4 \sqrt{3}$

Answer the following and justify: Can $x^{2}-1$ be the quotient on division of $x^{6}+2 x^{3}+x-1$ by a polynomial in $x$ of degree $5$?

Given that two of the zeroes of the cubic polynomial $ax^3 + bx^2 + cx + d$ are $0$,the third zero is

For each of the following,find a quadratic polynomial whose sum and product of the zeroes are as given respectively. Also,find the zeroes of these polynomials by factorisation.
Sum of zeroes $= -\frac{8}{3}$,Product of zeroes $= \frac{4}{3}$

If $2x^3 - x^2 - 2x - 8$ is divided by $x - 2$,then the quotient polynomial is............