What is the remainder when (3x^4 + 2x^3 – x^2 + 2x – 14) ÷ (x + 2)?
a. 10
b. 5
c. 0
d. 15
There is only one more after this one.

Question

What is the remainder when (3x^4 + 2x^3 – x^2 + 2x – 14) ÷ (x + 2)?
a. 10
b. 5
c. 0
d. 15
There is only one more after this one.

nurali · Answer

(3x4+2x3-x2+2x-14) : (x+2) =3x3-4x2+7x-12
 3x4+6x3
---------
   0   -4x3-x2
        -4x3-8x2
       ----------
           0   7x2+2x
                7x2+14x
               ----------
                 0    -12x-14
                       -12x-24
                      ---------
                          0    10