Respuesta :

The division is: 2x³+2x+4

What is synthetic division?

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

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