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How do you long divide #(3x^5 + 9x^4 − 9x^3 − x − 1)/(x^2 − 3)#?

Answer 1

Cora Alexander

Explained below

It is explained below

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Answer 2

Sophie Adams

To long divide ((3x^5 + 9x^4 - 9x^3 - x - 1)) by ((x^2 - 3)), follow these steps:

Divide the leading term of the dividend by the leading term of the divisor. This gives the first term of the quotient.
Multiply the entire divisor by the first term of the quotient obtained in step 1.
Subtract the result obtained in step 2 from the dividend.
Bring down the next term from the dividend.
Repeat steps 1-4 until all terms of the dividend have been considered.

The result of long division will be the quotient plus any remainder, if applicable.

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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.