# How do you divide #(x^3+2x^2-11x-12)/(x^2-3x+2)#?

Long divide coefficients to find:

#(x^3+2x^2-11x-12)/(x^2-3x+2) = x+5+(2x-22)/(x^2-3x+2)#

You can just divide the coefficients like this:

The process is similar to long division of numbers.

Note that if there were any 'missing' powers of

Write the dividend

Choose the first term

Write the product

Bring down the next term

Choose the next term

Write the product

There are no more terms to bring down from the dividend, so this is our final remainder.

We find:

#(x^3+2x^2-11x-12)/(x^2-3x+2) = x+5+(2x-22)/(x^2-3x+2)#

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To divide ( \frac{x^3 + 2x^2 - 11x - 12}{x^2 - 3x + 2} ), perform polynomial long division or synthetic division. Set up the division, divide each term of the dividend by the divisor, and then subtract to find the remainder. Keep dividing until you have a remainder with a degree less than that of the divisor, or until you have a constant remainder. The result of the division will be the quotient plus any remainder, if present.

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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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