Find a cubic polynomial with the sum, sum of the product of its zeros taken two at a time, and the product of its zeros as 5, –2 and –24 respectively.

The required cubic polynomial can be calculated as:

x^{3} – (Sum of the zeros) x^{2} + (Sum of the product of the zeros taking two at a time) x – Product of Zeros

It is given that, product of the zeros are 5, -2 and – 24 respectively

Putting these values in the equation, we get:

x^{3} – 5x^{2} – 2x + 24

5