I found the GCD by the Euclidean Algorithm of

(x^5)+(x^4)+(2x^3)-(x^2)-x-2

AND

(x^4)+(2x^3)+(5x^2)+4x+4

to be (4x^2)+4x+8.

But my book says something about it having to be monic. How would I manipulate (4x^2)+4x+8 to make it the true GCD of the two polynomials?