Answer:
The additive inverse is equal to [tex]6x^{3}-4x^{2}+4x[/tex]
Step-by-step explanation:
we know that
Two polynomials area additive inverses if they are opposites of each other
we have
[tex]-6x^{3}+4x^{2}-4x[/tex]
To find the additive inverse multiply the polynomial by -1
[tex]-1*(-6x^{3}+4x^{2}-4x)=6x^{3}-4x^{2}+4x[/tex]