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Factor x3 + x2 + 2x + 2, by grouping. Group the first two terms and the last two terms. Then factor.

First, factor x3 + x2 by pulling out an x2 term: x2(x + 1)

Second, factor 2x + 2 by pulling out a 2: 2(x + 1)

So, you now have:

x2(x + 1) + 2(x + 1)

If you have factored correctly, the terms inside the parentheses should be the same.

Now regroup.

ANS: (x + 1)(x2 + 2)

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14y ago
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