What is the result of dividing x3−4 by x + 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) :[tex]f(x)=x^4-4.[/tex]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[tex]f(-2)\\\\=(-2)^3-4\\\\=-8-4\\\\-12.[/tex]Thus, the required remainder left after division is -12.