# How do you find the quotient of #(x^2+x-20)div(x-4)#?

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Factorise and cancel like factors.

In the same way we can find the quotient by factorising the numerator:

Cancel the like factors:

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To find the quotient of (x^2+x-20) divided by (x-4), you can use long division or synthetic division.

Using long division:

- Divide x^2 by x, which gives x.
- Multiply (x-4) by x, which gives x^2-4x.
- Subtract (x^2-4x) from (x^2+x-20), which gives 5x-20.
- Divide 5x by x, which gives 5.
- Multiply (x-4) by 5, which gives 5x-20.
- Subtract (5x-20) from (5x-20), which gives 0.

Therefore, the quotient is x+5.

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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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