The division is: 2x³+2x+4
Synthetic division is a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division.
Given:
(2[tex]x^{4}[/tex] + 4x³ + 2x² + 8x + 8) ÷ (x + 2)
The division is attached below.
Hence, the division is 2x³+2x+4.
Learn more about this concept here:
https://brainly.com/question/3696665
#SPJ1