Question

if p(x)= x^4 + 3x^3 -2x^2 +4 and q(x) = x+1, then g(x) is a polynomial that equal p(x)/q(x). what is the remainder of g(x) when it is divided by (x-2)?answer choicesA. 22B.12C.-4D.6

Answer 1

Answer: The correct answer for the question is B.12

Reason:

We are going first to calculate g(x)= p(x)/q(x), where

`p(x)=x^4+3x^3-2x^2+4\text{ }`
`q(x)=x+1`

obtaining that:

`g(x)=x^3+2x^2-4x+4`

Now we need to divide g(x) by (x-2), and find the remainde