What is the result of dividing x³ - 4 by x + 2?

Solution:

x³ - 4 divided by x + 2 can be calculated as follows

Step 1:

Multiplying x+2 by x² and subtract from the x³ - 4 we have

      x³ - 4
(-)  x³ + 2x²
     0 - 4 - 2x²

Step 2:

Multiplying x + 2 by -2x and subtracting from -4 - 2x² we have

      -4 - 2x²
(-) -4x - 2x²
  -4 + 4x + 0

Step 3:

Multiplying x + 2 by 4 and subtracting from -4 + 4x

   -4 + 4x
(-) 8 + 4x
  -12 + 0

The result of dividing x³ - 4 by x + 2 is x² - 2x + 4 and the remainder is -12

What is the result of dividing x³ - 4 by x + 2?

Summary:

The result of dividing x³ - 4 by x + 2 is the quotient x² - 2x + 4 and remainder is -12