Question

Find a cubic function with the given zeros. Square root of 6, - Square root of 6, -3

Answer 1

because these are roots of cubic function so just multiplie
(x-sqrt6)(x+sqrt6)(x+3) = ? and will get the right cubic function easy

Answer 2

Answer: The cubic function will be

`x^3+3x^2-6x-18`

Explanation:

Since we have given that

the roots are

`√(6),-√(6),-3`

Since it has three roots , so it is a cubic function.

The cubic function is given by

`(x-√(6))(x+√(6))(x-(-3))\\\\=(x^2-(√(6))^2)(x+3)\\\\=(x^2-6)(x+3)\\\\=x^2(x+3)-6(x+3)\\\\=x^3+3x^2-6x-18`

So, the cubic function will be

`x^3+3x^2-6x-18`