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How do you divide #(x^3-x^2-3x-1) / (x^2+x-4) # using polynomial long division?

Answer 1

Hazel Anglin

To solve this, we can use long division as shown here in the image:

Hope this helps!

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Answer 2

Isaiah Anthony

To divide (x^3-x^2-3x-1) by (x^2+x-4) using polynomial long division, follow these steps:

Arrange the dividend (x^3-x^2-3x-1) and the divisor (x^2+x-4) in descending order of powers of x.
Divide the first term of the dividend (x^3) by the first term of the divisor (x^2) to get x.
Multiply the divisor (x^2+x-4) by the quotient obtained in step 2 (x), and write the result below the dividend.
Subtract the result obtained in step 3 from the dividend.
Bring down the next term from the dividend (-3x).
Repeat steps 2-5 until all terms in the dividend have been processed.
The final result is the quotient obtained from the division.

The quotient is x - 2 and the remainder is 5x + 7.

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Answer from HIX Tutor

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.