Find a cubic polynomial with the sum of its zeroes, sum of the products of its zeroes taken two at a time and the product of its zeroes as $5,-2$ and $-24$ respectively.

sum of the product of the zeroes taken two at a time and the product of the zeroes of a cubic polynomial then the cubic polynomial can be found as $x^{3}-($ sum of the zeroes $) x^{2}+($ sum of the product of the zeroes taking two at a time) $x$ product of zeroes

Therefore, the required polynomial is $x^{3}-5 x^{2}-2 x+24$