# How do you factor the trinomial # x^2 + 5x + 6#?

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To factor the trinomial (x^2 + 5x + 6), you would look for two numbers that multiply to (6) (the constant term) and add up to (5) (the coefficient of the middle term). These numbers are (2) and (3), because (2 \times 3 = 6) and (2 + 3 = 5). Therefore, the factored form of (x^2 + 5x + 6) is ((x + 2)(x + 3)).

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To factor the trinomial (x^2 + 5x + 6), you can use the factoring by grouping method. First, find two numbers that multiply to (6) and add to (5). These numbers are (2) and (3). Then, rewrite the middle term as the sum of these two numbers. The trinomial becomes (x^2 + 2x + 3x + 6). Now, factor by grouping, taking common factors from the first two terms and the last two terms. You will get (x(x + 2) + 3(x + 2)). Finally, factor out the common binomial factor (x + 2). So, the factored form of the trinomial is ((x + 2)(x + 3)).

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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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