Given the polynomials
A(x)=2x4−x3+4x−9,
B(x)=x4+3x3−2x2+5, and
C(x)=5x3−4x2+x−2, answer the following.
(i) Form the expression T(x)=A(x)−2[B(x)−C(x)].
(ii) Simplify T(x) completely, combining all like terms.
(iii) Evaluate T(1) using your simplified expression from part (ii).