How do you divide #(3x^3  2x^2  12x  2)/(x7)#?
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To divide (3x^3  2x^2  12x  2) by (x7), you can use long division. Here are the steps:

Start by dividing the highest degree term of the dividend (3x^3) by the divisor (x7). This gives you 3x^2.

Multiply the divisor (x7) by the quotient obtained in step 1 (3x^2). This gives you 3x^3  21x^2.

Subtract the result obtained in step 2 from the original dividend (3x^3  2x^2  12x  2) to get a new polynomial: 19x^2  12x  2.

Repeat steps 13 with the new polynomial (19x^2  12x  2).

Divide the highest degree term of the new polynomial (19x^2) by the divisor (x7). This gives you 19x.

Multiply the divisor (x7) by the quotient obtained in step 5 (19x). This gives you 19x^2 + 133x.

Subtract the result obtained in step 6 from the new polynomial (19x^2  12x  2) to get a new polynomial: 145x  2.

Repeat steps 13 with the new polynomial (145x  2).

Divide the highest degree term of the new polynomial (145x) by the divisor (x7). This gives you 145.

Multiply the divisor (x7) by the quotient obtained in step 9 (145). This gives you 145x + 1015.

Subtract the result obtained in step 10 from the new polynomial (145x  2) to get a remainder of 1013.
Therefore, the division of (3x^3  2x^2  12x  2) by (x7) is equal to 3x^2  19x  145 with a remainder of 1013.
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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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