The product of the zeros of the polynomial $x^{3}+4x^{2}+x-6$ is .............

If two zeroes of the polynomial $x^{4}-6 x^{3}-26 x^{2}+138 x-35$ are $2 \pm \sqrt{3},$ find other zeroes.

Find the zeroes of the following polynomial by the factorisation method and verify the relationship between the zeroes and the coefficients of the polynomial: $4x^{2} + 5\sqrt{2}x - 3$

Find the zeros of the following quadratic polynomial: $p(x) = x^{2} + x - 12$.

For each of the following,find a quadratic polynomial whose sum and product of the zeroes are $\frac{21}{8}$ and $\frac{5}{16}$ respectively. Also,find the zeroes of these polynomials by factorisation.

Given that one of the zeroes of the cubic polynomial $ax^3 + bx^2 + cx + d$ is zero,the product of the other two zeroes is