Answer: The correct answer for the question is B.12
Reason:
We are going first to calculate g(x)= p(x)/q(x), where
[tex]p(x)=x^4+3x^3-2x^2+4\text{ }[/tex][tex]q(x)=x+1[/tex]obtaining that:
[tex]g(x)=x^3+2x^2-4x+4[/tex]Now we need to divide g(x) by (x-2), and find the remainde