Question

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

Answer 1

The answer would be x2 - 2x + 4 - 12/(x + 2) as the final result. Credits go to web calc

Answer 2

Answer:  The required remainder left after division is -12.

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

$f(x)=x^4-4.$

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

$f(-2)\\\\=(-2)^3-4\\\\=-8-4\\\\-12.$

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