Answer:
6x³ - 4x² + 4x
Step-by-step explanation:
The additive inverse is the value added to make the expression equal to zero.
Given
- 6x³ + 4x² - 4x , then the additive inverse is
- ( - 6x³ + 4x² - 4x)
= 6x³ - 4x² + 4x
The additive inverse of the polynomial is 6x³ - 4x² + 4x.
Given: Polynomial
-6x³ + 4x² - 4x
Additive inverse of the polynomial is the polynomial when added to the original polynomial gives the sum zero.
Let, the additive inverse of the given polynomial be P.
⇒ P + -6x³ + 4x² - 4x = 0
⇒ P = 6x³ - 4x² + 4x
Therefore, the additive inverse of the given polynomial is 6x³ - 4x² + 4x.
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