# What is the result of dividing x^{3 }- 4 by x + 2?

**Solution:**

x^{3 }- 4 divided by x + 2 can be calculated as follows

Step 1:

__Multiplying__ x+2 by x² and subtract from the x^{3 }- 4 we have

x^{3 }- 4

(-) __x__^{3 }__+ 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 x^{3 }- 4 by x + 2 is x² - 2x + 4 and the remainder is -12

## What is the result of dividing x^{3 }- 4 by x + 2?

**Summary: **

The result of dividing x^{3 }- 4 by x + 2 is the quotient x² - 2x + 4 and remainder is -12

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