The polynomial that is factored completely is one that can not be factored again is 2g² + 5g + 4. Therefore, option D is the correct answer.
What is the factorisation of a polynomial?
Factorisation of a polynomial is the decomposition of a polynomial into smaller polynomials.
Thus, the polynomial that is factored in completely is the polynomial that can not be decomposed again.
Now,
g⁵ - g = g(g⁴ - 1) (it can be factored)
4g³ + 18g² + 20g = 2g(g + 2)(2g + 5)
24g² - 6g⁴ = 6g²(4g² + g²)
2g² + 5g + 4 cannot be factored again. It is already factored completely
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