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

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

Step-by-step explanation:

Since we have given that

the roots are

$\sqrt{6},-\sqrt{6},-3$

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

The cubic function is given by

$(x-\sqrt{6})(x+\sqrt{6})(x-(-3))\\\\=(x^2-(\sqrt{6})^2)(x+3)\\\\=(x^2-6)(x+3)\\\\=x^2(x+3)-6(x+3)\\\\=x^3+3x^2-6x-18$

So, the cubic function will be

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