How do you divide #(-x^4-4x^3-9x^2-7x-7)/(x-2) #?
On this, we can perform long division:
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To divide (-x^4-4x^3-9x^2-7x-7) by (x-2), you can use long division. Here are the steps:
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Start by dividing the first term of the numerator (-x^4) by the first term of the denominator (x). This gives you -x^3.
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Multiply the entire denominator (x-2) by -x^3, which gives you -x^4 + 2x^3.
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Subtract this result from the original numerator (-x^4-4x^3-9x^2-7x-7). This gives you -6x^3-9x^2-7x-7.
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Bring down the next term (-6x^3) and repeat the process. Divide (-6x^3) by (x), which gives you -6x^2.
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Multiply the entire denominator (x-2) by -6x^2, which gives you -6x^3 + 12x^2.
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Subtract this result from the previous step (-6x^3-9x^2-7x-7). This gives you 3x^2-7x-7.
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Bring down the next term (3x^2) and repeat the process. Divide (3x^2) by (x), which gives you 3x.
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Multiply the entire denominator (x-2) by 3x, which gives you 3x^2 - 6x.
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Subtract this result from the previous step (3x^2-7x-7). This gives you x-7.
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Bring down the next term (x) and repeat the process. Divide (x) by (x), which gives you 1.
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Multiply the entire denominator (x-2) by 1, which gives you x-2.
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Subtract this result from the previous step (x-7). This gives you 5.
The final result of the division is -x^3 - 6x^2 + 3x + 1 with a remainder of 5.
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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.
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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