Question

Factor completely

X^3+x^2-4x-4

Answer 1

[AI-generated answer — Bot GPT 3.5]

To factorize the expression completely, we can first look for any common factors. In this case, there are no common factors.

Next, we can use polynomial long division to divide the given expression by a binomial that might be a factor. We can try dividing by x + 1:

x^2 - 1
___________________
x + 1 | x^3 + x^2 - 4x - 4
-(x^3 + x^2)
____________
-5x - 4

The remainder obtained is -5x - 4.

Since the degree of the remainder is less than the degree of the divisor, the division cannot be further continued.

Therefore, the given expression x^3 + x^2 - 4x - 4 cannot be completely factored.