# How do you divide #(4x^4 -5x^2-2x+24)/((x + 4) )#?

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To divide (4x^4 - 5x^2 - 2x + 24) by (x + 4), you can use long division. Here are the steps:

- Divide the first term of the dividend (4x^4) by the first term of the divisor (x). This gives you 4x^3.
- Multiply the entire divisor (x + 4) by the quotient obtained in step 1 (4x^3). This gives you 4x^4 + 16x^3.
- Subtract the result obtained in step 2 from the original dividend (4x^4 - 5x^2 - 2x + 24) to get the new dividend: -16x^3 - 5x^2 - 2x + 24.
- Repeat steps 1-3 with the new dividend (-16x^3 - 5x^2 - 2x + 24) until you have no more terms to divide.
- The final quotient is the sum of all the quotients obtained in each step, and any remaining terms form the remainder.

Therefore, the division of (4x^4 - 5x^2 - 2x + 24) by (x + 4) is 4x^3 - 16x^2 + 62x - 248 with a remainder of 1000.

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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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