Question

find cubic polynomial with sum, sum of their products of its zeroes taken two at a time and the product of its zeroes as 5,-2,-24

Answer 1

sum= -b/a
5 = -b/a
sum of their product of its zeros taken two at a time = c/a
-2 = c/a
product = -d/a
-24 = -d/a

so, a= 1
-b= -5
b= 5
c = -2
-d = -24
d = 24
cubic polynomial = x^3+ 5x^2 - 2x+24
may this help you