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x2 + 8x + 16 describes a parabola, and as such does not have an area as it does not enclose any space.

It does however have a range. If you factor it, you can reduce it to (x + 4)2, which tells us that it has a range of 0 → ∞, with it's focal point being at (-4, 0).

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Q: What is the area of x2 plus 8x plus 16?
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