# How do you divide #(x^2+4x+4) / (x+2) #?

x+2.

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To divide (x^2+4x+4) by (x+2), you can use long division or synthetic division.

Using long division:

- Divide x^2 by x, which gives x.
- Multiply (x+2) by x, which gives x^2+2x.
- Subtract (x^2+2x) from (x^2+4x+4), which gives 2x+4.
- Divide 2x by x, which gives 2.
- Multiply (x+2) by 2, which gives 2x+4.
- Subtract (2x+4) from (2x+4), which gives 0.

Therefore, the quotient is x+2.

Using synthetic division:

- Write the coefficients of the dividend (x^2+4x+4) in descending order: 1, 4, 4.
- Write the opposite of the divisor (x+2): -2.
- Bring down the first coefficient, which is 1.
- Multiply -2 by 1, which gives -2.
- Add 4 and -2, which gives 2.
- Multiply -2 by 2, which gives -4.
- Add 4 and -4, which gives 0.

Therefore, the quotient is x+2.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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