# How do you factor #y=x^2 - 2x - 15# ?

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To factor ( y = x^2 - 2x - 15 ), we first look for two numbers that multiply to -15 (the constant term) and add up to -2 (the coefficient of the linear term). These numbers are -5 and 3.

Then, we can rewrite the middle term (-2x) as the sum of these two numbers: ( y = x^2 - 5x + 3x - 15 ).

Next, we group the terms and factor by grouping: ( y = (x^2 - 5x) + (3x - 15) ). ( y = x(x - 5) + 3(x - 5) ).

Now, we factor out the common factor of ( x - 5 ): ( y = (x + 3)(x - 5) ).

So, the factored form of ( y = x^2 - 2x - 15 ) is ( y = (x + 3)(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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