What is factor z^2-5z-24 ?

The solution to factor z^2-5z-24 is (z+3)(z-8)

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factor z^2-5z-24

factor

z^{2} - 5 z - 24

(z + 3) (z - 8)

Solution steps

z^{2} - 5 z - 24

Break the expression into groups

= (z^{2} + 3 z) + (- 8 z - 24)

Factor out

z

from

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

Factor out

- 8

from

- 8 z - 24 : - 8 (z + 3)

= z (z + 3) - 8 (z + 3)

Factor out common term

z + 3

= (z + 3) (z - 8)

- 5 a - 2 a^{2}

6 \cdot \frac{3}{8}

- 2 - \frac{2}{5}

7 (x - 2) = 3 (x + 4)

\frac{6}{3 + 5 i}