How do you divide #(6x^312x^25x+3) / (6x9)# using long division?
In this case,
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To divide (6x^312x^25x+3) by (6x9) using long division, follow these steps:

Divide the first term of the dividend (6x^3) by the first term of the divisor (6x). The result is x^2.

Multiply the divisor (6x9) by the quotient obtained in step 1 (x^2). The result is 6x^39x^2.

Subtract the product obtained in step 2 from the dividend (6x^312x^25x+3). This gives 3x^25x+3.

Bring down the next term from the dividend (5x).

Divide the new dividend (3x^25x+3) by the first term of the divisor (6x). The result is 1/2x.

Multiply the divisor (6x9) by the quotient obtained in step 5 (1/2x). The result is 3x+9/2.

Subtract the product obtained in step 6 from the new dividend (3x^25x+3). This gives 3x^2+2x+3/2.

Bring down the next term from the dividend (3/2).

Divide the new dividend (3x^2+2x+3/2) by the first term of the divisor (6x). The result is 1/4.

Multiply the divisor (6x9) by the quotient obtained in step 9 (1/4). The result is 3/2+9/4.

Subtract the product obtained in step 10 from the new dividend (3x^2+2x+3/2). This gives 0.
The final result of the division is x^2  1/2x  1/4, with no remainder.
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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