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nikdorinn [45]
3 years ago
7

Factor the equation: x^2+5x-14

Mathematics
2 answers:
vesna_86 [32]3 years ago
7 0

Answer:

(x + 7)(x - 2)

Step-by-step explanation:

To do this, set up "templates."  To set these up, look at the signs on the second and third numbers.  The second number is positive, and the third is negative.  

The third number being negative means that the factored phrases will have different signs for the integers.  The second number being positive means that the the larger number will be positive.

The "templates" are  (x +  )(x -  ).

Next, fin the factors of 14 (1, 14 and 2, 7)

2 and 7 are the pair that will give us the second number, 5.  With the larger number being 7, this is the positive number.

(x + 7)(x - 2)

You can check your answer using FOIL, which is the order in which you multiply the numbers.  Front, outer, inner, and last.

Front: x²

Outer: -2x

Inner: 7x

Last: -14

Add it all up.

x² + (-2x) + 7x + (-14)

x² + 5x - 14

Gre4nikov [31]3 years ago
5 0

Answer:

Step-by-step explanation:

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