What is factor z^2+z-12 ?

The solution to factor z^2+z-12 is (z-3)(z+4)

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factor z^2+z-12

factor

z^{2} + z - 12

(z - 3) (z + 4)

Solution steps

z^{2} + z - 12

Break the expression into groups

= (z^{2} - 3 z) + (4 z - 12)

Factor out

z

from

z^{2} - 3 z : z (z - 3)

Factor out

4

from

4 z - 12 : 4 (z - 3)

= z (z - 3) + 4 (z - 3)

Factor out common term

z - 3

= (z - 3) (z + 4)

(2 a b^{2} - c) (- 3 a + b)

x^{4} - 11 x^{2} + 10

(- 8)^{2} + (- 6)^{2}

(3 x - 5)^{2} + (5 x + 2)^{2}

(x)^{3}