Question

Find a cubic function with the given zeros. (1 point) Square root of seven. , - Square root of seven. , -4

Answer 1

Given :

Three roots ,
`√(7),\ -√(7),\ -4` .

To Find :

A cubic function with the given zeros.

Solution :

Equation of polynomial of 3 zeroes is given by :

`(x-a_1)(x-a_2)(x-a_3)=0\\\\(x-√(7))(x+√(7))(x+4)=0\\\\( x^2-7)(x+4)=0\\\\x^3+4x^2-7x-28=0`

Therefore, the cubic function of given zeroes is
`x^3+4x^2-7x-28=0`.

Hence, this is the required solution.