# How do you factor #-x^2 + 11x + 26#?

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Complete factoring:

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To factor the expression -x^2 + 11x + 26, we first find two numbers that multiply to the constant term (26) and add up to the coefficient of the middle term (11). These numbers are 13 and 2. Then, we rewrite the middle term using these numbers: -x^2 + 13x + 2x + 26. Next, we factor by grouping: x(-x + 13) + 2(-x + 13). Finally, we factor out the common binomial factor: (x + 2)(-x + 13).

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To factor the quadratic expression (-x^2 + 11x + 26), you need to find two numbers that multiply to (26) (the constant term) and add up to (11) (the coefficient of the linear term).

These numbers are (13) and (2) because (13 \times 2 = 26) and (13 + 2 = 11).

Now, rewrite the quadratic expression using these numbers:

(-x^2 + 13x + 2x + 26)

Group the terms:

((-x^2 + 13x) + (2x + 26))

Factor out the greatest common factor from each group:

(-x(x - 13) + 2(x - 13))

Now, you can see that both terms have a common factor of ((x - 13)):

((x - 13)(-x + 2))

So, the factored form of (-x^2 + 11x + 26) is ((x - 13)(-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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