What is the result of dividing x³ - 7 by x + 2?

Solution:

Using the long division method we have:

Step 1: Divisor = x + 2

(x + 2) * x² = x³ + 2x²

X³ - 7
x³ + 2x²
------------
-7 -2x² → Remainder

Now multiplying the divisor (x + 2) by -2x and subtracting from - 7 - 2x² we get

-7 - 2x²
-4x - 2x²
-----------
-7 + 4x

The quotient now is x² - 2x 

Now multiplying the divisor (x + 2)by 4 and subtracting from - 7 + 4x we get

-7 + 4x
8 + 4x
---------
-15

Therefore dividing x³ - 7 by x + 2 the quotient is x² - 2x + 4 and remainder is -15

What is the result of dividing x³ - 7 by x + 2?

Summary:

The result of dividing x³ - 7 by x + 2 results in a quotient of x² - 2x + 4 and remainder is 15