Question

find the cubic polynomial with the sum, sum of the products of it's zeros taken to at a time and product of it's zeros as 2,-7,&-16

Answer 1

given:(alpha+ beta+gama)=2,
(alpha beta+gama beta + alpha gama)= -7 and
(alpha× beta× gama)=-16
and so required cubic polynomial will be :
x^3-2x^2-7x+16

Answer 2

The polynomial is x cube minus 2x square minus 7x plus 16 is equal to zero