What is factor x^2+4x-12 ?

The solution to factor x^2+4x-12 is (x-2)(x+6)

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factor x^2+4x-12

factor

x^{2} + 4 x - 12

(x - 2) (x + 6)

Solution steps

x^{2} + 4 x - 12

Break the expression into groups

= (x^{2} - 2 x) + (6 x - 12)

Factor out

x

from

x^{2} - 2 x : x (x - 2)

Factor out

6

from

6 x - 12 : 6 (x - 2)

= x (x - 2) + 6 (x - 2)

Factor out common term

x - 2

= (x - 2) (x + 6)

- 4 a^{2} - 12 a + 40 = - 4 (a + 5) (a - 2)

- 2 x \leq \frac{- 3 ( x + 1 )}{2}

- 8 h^{2} - 13 h + 6

∣ x - 4 ∣ = 9

3 (\frac{2}{3} x + \frac{1}{6}) - \frac{3}{4} (2 x + 18) = - 4