# How do you divide #(-x^4+6x^3-12x^2-7x-7)/(x-2) #?

To simplify the given equation, divide the number values and subtract the variable's exponent. (see explanation)

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To divide (-x^4+6x^3-12x^2-7x-7) by (x-2), you can use long division. Here are the steps:

- Divide the first term of the numerator (-x^4) by the first term of the denominator (x). The result is -x^3.
- Multiply the entire denominator (x-2) by -x^3, giving -x^4+2x^3.
- Subtract this result (-x^4+2x^3) from the original numerator (-x^4+6x^3-12x^2-7x-7). The subtraction gives 4x^3-12x^2-7x-7.
- Bring down the next term from the numerator, which is -12x^2.
- Divide -12x^2 by x, giving -12x.
- Multiply the entire denominator (x-2) by -12x, resulting in -12x^2+24x.
- Subtract this result (-12x^2+24x) from the previous result (4x^3-12x^2-7x-7). The subtraction gives 4x^3-36x-7x-7.
- Bring down the next term from the numerator, which is -7x.
- Divide -7x by x, giving -7.
- Multiply the entire denominator (x-2) by -7, resulting in -7x+14.
- Subtract this result (-7x+14) from the previous result (4x^3-36x-7x-7). The subtraction gives 4x^3-43x-21.
- Bring down the last term from the numerator, which is -7.
- Divide -7 by x, giving -7/x.
- Multiply the entire denominator (x-2) by -7/x, resulting in -7+14/x.
- Subtract this result (-7+14/x) from the previous result (4x^3-43x-21). The subtraction gives 4x^3-43x-21-(-7+14/x).

The final result of the division is 4x^3-43x-21-(-7+14/x).

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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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