A closed rectangular box has dimensions of length n inches, width n+6 inches, and height n+2 inches. Write a polynomial function $A(n)$ for the area of the largest side of the box.

A) $A(n)=n^2-2n+12$
B) $A(n)=-n^2+6n+12$
C) $A(n)=n^2-4n+12$
D) $A(n)=n^2+4n+12$
E) $A(n)=n^2+8n+12$

Polynomial Function

A mathematical expression consisting of variables, coefficients, and non-negative integer exponents, combined through addition, subtraction, and multiplication.

Dimensions

Dimensions refer to the measurable extents of an object, such as length, width, and height, used to describe its size or shape.