Divide –3x3 – 4x2 + 4x +3 by x – 2.

the answer is –3x2 – 10x – 16, R – 29
please show work

To divide the polynomial -3x^3 - 4x^2 + 4x + 3 by x - 2, we can use long division.

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x - 2 | -3x^3 - 4x^2 + 4x + 3
- (-3x^3 + 6x^2)
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-10x^2 + 4x
- (-10x^2 + 20x)
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-16x + 3
- (-16x + 32)
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-29

Therefore, the answer is -3x^2 - 10x - 16, with a remainder of -29.