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

 The required remainder left after division is -12.

Step-by-step explanation:  Given that the following cubic expression is divided by (x+2) :

We are to find the result after division.

Remainder Theorem :  If a polynomial p(x) is divided by a linear factor (x-a), then the remainder is p(a).

Therefore, when f(x) is divided by (x+2), then the remainder is given by

Thus, the required remainder left after division is -12.

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