Let T(x)=−6x^4 + x^2 −1 and U(x)=2x^3−4x+3 . Find T(x)−U(x).

To find:
The value of T(x) - U(x).
Solution:
Given that T(x)=−6x^4 + x^2 −1 and U(x)=2x^3−4x+3.
So, T(x) - U(x) can be obtained as follows:
[tex]\begin{gathered} T(x)-U(x)=-6x^4+x^2-1-(2x^3-4x+3) \\ =-6x^4+x^2-1-2x^3+4x-3 \\ =-6x^4-2x^3+x^2+4x-4 \end{gathered}[/tex]Thus, option D is correct.