How do you find the quotient of #(14y^5+21y^46y^39y^2+32y+48)div(2y+3)# using long division?
Quotient is
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To find the quotient of (14y^5+21y^46y^39y^2+32y+48) divided by (2y+3) using long division, follow these steps:

Divide the first term of the dividend (14y^5) by the first term of the divisor (2y). The result is 7y^4.

Multiply the divisor (2y+3) by the quotient obtained in step 1 (7y^4). The result is 14y^5+21y^4.

Subtract the product obtained in step 2 from the dividend (14y^5+21y^46y^39y^2+32y+48) to get the new dividend: 6y^39y^2+32y+48.

Bring down the next term from the original dividend, which is 6y^3.

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

Multiply the divisor (2y+3) by the quotient obtained in step 5 (3y^2). The result is 6y^39y^2.

Subtract the product obtained in step 6 from the new dividend (6y^39y^2+32y+48) to get the new dividend: 32y+48.

Bring down the next term from the new dividend, which is 32y.

Divide the first term of the new dividend (32y) by the first term of the divisor (2y). The result is 16.

Multiply the divisor (2y+3) by the quotient obtained in step 9 (16). The result is 32y+48.

Subtract the product obtained in step 10 from the new dividend (32y+48) to get the new dividend: 0.

Since the new dividend is 0, the long division process is complete.
The quotient of (14y^5+21y^46y^39y^2+32y+48) divided by (2y+3) is 7y^43y^2+16.
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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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