How do you divide #(x^3 - 7x - 6)/(x+1)#?
Quotient is
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To divide (x^3 - 7x - 6) by (x+1), you can use long division. Here are the steps:
- Divide the first term of the numerator (x^3) by the first term of the denominator (x). This gives x^2.
- Multiply the entire denominator (x+1) by the quotient obtained in step 1 (x^2). This gives x^3 + x^2.
- Subtract the result obtained in step 2 from the numerator (x^3 - 7x - 6). This gives -8x^2 - 7x - 6.
- Bring down the next term from the numerator (-8x^2) and repeat steps 1-3.
- Divide the first term of the new numerator (-8x^2) by the first term of the denominator (x). This gives -8x.
- Multiply the entire denominator (x+1) by the quotient obtained in step 5 (-8x). This gives -8x^2 - 8x.
- Subtract the result obtained in step 6 from the new numerator (-8x^2 - 7x - 6). This gives x - 6.
- Bring down the next term from the numerator (x) and repeat steps 1-3.
- Divide the first term of the new numerator (x) by the first term of the denominator (x). This gives 1.
- Multiply the entire denominator (x+1) by the quotient obtained in step 9 (1). This gives x + 1.
- Subtract the result obtained in step 10 from the new numerator (x - 6). This gives -7.
- There are no more terms left in the numerator, so the division is complete.
- The quotient is x^2 - 8x + 1, and the remainder is -7.
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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.
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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