find the quotient

Question

Find the quotient and remainder of f(x)/p(x) where

f(x)=3x^4-x^3+8x+61 and p(x)=x^2-4x+2

Answer 1

3x^2 +11x + 38 with remainder of 138x - 15 or

f(x)/p(x) = (3c^4-x^3+8x+61)/(x^2-4x+2) = 3x^2+11x+38 + (138x-15)/(3x^2+11x+38)