Question

A large square carpet is initially x inches long and x inches wide. Randy decides to trim 2 inches off each edge of the carpet because the edges are worn. Later he goes back and trims 6 more inches off each edge.

(a) Express the final area (A) of the carpet in square inches (after both trim jobs) as a polynomial function of x.

A(x)=

(b) How many square inches of material were removed in the first trim job? Express the area removed in the first trim job (T1) as a function of x.

T1(x)=


(c) How many square inches of material were removed in the second trim job? Express the area removed in t