Question

2. Find a cubic polynomial with the sum, sum of the product of its zeros taken two at a time,
and product of its zeros as 3, --1 and - 3 respectively.

(full explanation plzzz)​

Answer 1

let A ,B, C be the roots of cubic polynomial

given that A+B+C = 3 =-b/a

AB+BC+CA= -1 = c/a

ABC =3 = -d/a

Formula to find cubic polynomial

x^3-(A+B+C) x^2+(AB+BC+CA)x -(ABC)

x^3-(-b/a)x^2+(c/a)x + (-d/a)

x^3-3x^2-x+3

Answer 2

Answer:

Step-by-step explanation:

let A ,B, C be the roots of cubic polynomial

given that A+B+C = 3 =-b/a

AB+BC+CA= -1 = c/a

ABC =3 = -d/a

Formula to find cubic polynomial

x^3-(A+B+C) x^2+(AB+BC+CA)x -(ABC)

x^3-(-b/a)x^2+(c/a)x + (-d/a)

x^3-3x^2-x+3