The answer to this item can be determined through making use of the concept of Remainder Theorem. With that, we are going to substitute the value of the factor to the given original equation. Whatever is the result of the operation through the use of the value of the factor is the remainder.
Factor: x - 2;
We equate this factor to zero to be able to find the value of x. That is,
x - 2= 0;
x = 2
Substitute 2 to the x's of the quadratic equation.
R = (2)² + 2 - 12 = -6
ANSWER: Remainder = -6