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

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

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step-by-step explanation: