Write the opposite polynomial for - 3x ^3+12x-4

3x³ - 12x + 4

Step-by-step explanation:

The opposite of a polynomial P is - P.

You find the opposite of P by multiplying it by - 1.

P = - 3x³ + 12x - 4

-P = (-1) (-3x³ + 12x - 4) Distribute - 1 to each term

= (-1) (-3x³) + (-1) (12x) - (-1) (4) Multiply each coefficient by - 1

= 3x³ + (-12) x - (-4)

= 3x³ - 12x + 4