Answer:
No its not :)
Explanation:
To check whether \( (x+2) \) is a factor of \( f(x) = x^3 + x^2 - 16x - 16 \), we can use synthetic division.
The synthetic division process involves dividing \( f(x) \) by \( (x+2) \). If the result is zero, then \( (x+2) \) is a factor.
Here's the synthetic division:
```
-2 | 1 1 -16 -16
| -2 -6 44
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1 -1 -22 28
```
The result is \( x^2 - x - 22 \), with a remainder of 28.
Since the remainder is not zero, \( (x+2) \) is not a factor of \( f(x) \).