Question

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

Answer 1

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.

Answer 2

The result of dividing (x³ -4) by (x +2) is: (x²-2x+4) with a reminder of -12.

The result of the long division is as in the attached image.

The result of the long division yields a quotient and a remainder.

The quotient of the division of (x³-4) by (x+2) is; (x²-2x+4).

The remainder of the division is; -12

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