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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2(x^2 + 2)(x + 3)
(2x+3)(2x+4)
The quotient works out as: x^2+2x+4 and there is a remainder of -3
(2x - 1)(5x + 8)
It is: 4x squared