Question

What is the result of dividing x3−6 by x + 2?

Answer 1

Answer:    $\bold{x^2-2x+4-\dfrac{14}{x+2}}$

Step-by-step explanation:

I am going to use Synthetic Division.

The divisor is:    x + 2 = 0     →   x = -2

The coefficients are: 1x³ + 0x² + 0x - 6    →      1, 0, 0, -6

-2 |  1      0     0     -6

   |  ↓     -2     4     -8          

      1     -2      4    -14    ← remainder

Reduced Polynomial is: x² -2x + 4 -  14/(x + 2)