Question

PLEASE ANSWER + BRAINLIEST!!

What is the additive inverse of the polynomial?

–6x3 + 4x2 – 4x

A. 6x^3 + 4x^2 + 4x

B. 6x^3 – 4x^2 + 4x

C. –6x^3 – 4x^2 – 4x

D. 6x^3 + 4x^2 – 4x

Answer 1

–6x3 + 4x2 – 4x = -(–6x3 + 4x2 – 4x)
=6x3 - 4x2 + 4x

answer is B)6x^3 – 4x^2 + 4x

Answer 2

Answer:

B. $6x^3 - 4x^2 + 4x$

Step-by-step explanation:

Since, the additive inverse of an expression or a number is an expression or number that after addition gives the additive identity '0'.

Let x be the additive inverse of the polynomial $-6x^3+4x^2-4x$,

By the above statement,

$(-6x^3+4x^2-4x)+x = 0$

$x = -(-6x^3+4x^2-4x)$

$x=6x^3-4x^2+4x$

Hence,  the additive inverse of the polynomial $-6x^3+4x^2-4x$ is $6x^3-4x^2+4x$

Option B is correct.