How do you factor the trinomial #x^2+2x-4=0#?
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To factor the trinomial ( x^2 + 2x - 4 = 0 ), you can use the factoring method:
- Identify the coefficients of the quadratic equation: ( a = 1 ), ( b = 2 ), and ( c = -4 ).
- Find two numbers that multiply to ( a \times c = 1 \times -4 = -4 ) and add to ( b = 2 ). The numbers are 4 and -1.
- Rewrite the quadratic equation using these numbers: ( x^2 + 4x - 2x - 4 = 0 ).
- Group the terms: ( (x^2 + 4x) + (-2x - 4) = 0 ).
- Factor out the common terms from each group: ( x(x + 4) - 2(x + 4) = 0 ).
- Factor out the common factor of ( x + 4 ): ( (x + 4)(x - 2) = 0 ).
Therefore, the factored form of ( x^2 + 2x - 4 = 0 ) is ( (x + 4)(x - 2) = 0 ).
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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.
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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