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Factor completely. x^2+4x-12

1 Answer

4 votes

Answer:

(x + 6)(x - 2)

Explanation:

To factor the quadratic

Consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term ( + 4)

The factors are + 6 and - 2 since

+ 6 × - 2 = - 12 and + 6 - 2 = + 4, hence

x² + 4x - 12 = (x + 6)(x - 2)

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