# How do you factor #y= x^3-3x^2-4x+12# ?

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To factor the polynomial y = x^3 - 3x^2 - 4x + 12, you can use techniques such as grouping or synthetic division. In this case, grouping is suitable.

First, group the terms:

x^3 - 3x^2 - 4x + 12 = (x^3 - 3x^2) + (-4x + 12)

Factor out the common terms from each group:

= x^2(x - 3) - 4(x - 3)

Now, notice that (x - 3) is a common factor. Factor it out:

= (x - 3)(x^2 - 4)

The expression x^2 - 4 is a difference of squares, which factors further:

= (x - 3)(x + 2)(x - 2)

So, the factored form of the polynomial y = x^3 - 3x^2 - 4x + 12 is (x - 3)(x + 2)(x - 2).

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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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