Question

what is the formula to find the cubic polynomial when its sum of the zeroes and product is given.

if u know tell me....
don't copy paste from Google for points......tmrw is my xam ....so no spams plz.......10thers and above plz help ​

Answer 1

Step-by-step explanation:

A cubic polynomial is in the general form: ax^3+bx^2+cx+d=0

general form of cubic polynomial can be written as: a0x^3+a1x^2+a2x+a3=0

let roots of cubic polynomial= a,b,c

formula for sum of roots= a+b+c= -a1/a0

product of zeroes= a.b.c= -a3/a0

here, a0 is coefficient of x^3

a1 is coefficient of x^2

a2 is coefficient of x

a3 is a constant....

hope it helps you sister.... good night!

Answer 2

Answer:

Answer: x³ - 4x² + x + 6.

Step-by-step explanation:

Let the zeroes be α,β,γ. Given Zeroes are 3,2,-1.

(i) Sum of its Zeroes: ⇒ α + β + γ = 3 + 2 - 1. = 4.

(ii) Sum of the product taken two at a time: ⇒ αβ + βγ + γα = 3 * 2 + 2 * -1 + 3 * -1. = 1. ...

Therefore, the cubic polynomial is x³ - 4x² + x + 6. Hope it helps!