What is factor z^2-3z-4 ?

The solution to factor z^2-3z-4 is (z+1)(z-4)

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factor z^2-3z-4

factor

z^{2} - 3 z - 4

(z + 1) (z - 4)

Solution steps

z^{2} - 3 z - 4

Break the expression into groups

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

Factor out

z

from

z^{2} + z : z (z + 1)

Factor out

- 4

from

- 4 z - 4 : - 4 (z + 1)

= z (z + 1) - 4 (z + 1)

Factor out common term

z + 1

= (z + 1) (z - 4)

x + \frac{x}{2} = 78

13 b - 1 = 4 b - 19

\frac{1}{2} - \frac{1}{9}

7 x^{2} + 16 x + 4

\frac{1}{9} \cdot 6