What is factor z^2-5z-14 ?

The solution to factor z^2-5z-14 is (z+2)(z-7)

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factor z^2-5z-14

factor

z^{2} - 5 z - 14

(z + 2) (z - 7)

Solution steps

z^{2} - 5 z - 14

Break the expression into groups

= (z^{2} + 2 z) + (- 7 z - 14)

Factor out

z

from

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

Factor out

- 7

from

- 7 z - 14 : - 7 (z + 2)

= z (z + 2) - 7 (z + 2)

Factor out common term

z + 2

= (z + 2) (z - 7)

(- 4 k^{4} + 14 + 3 k^{2}) + (- 3 k^{4} - 14 k^{2} - 8)

2 a - \frac{a ^{2}}{2} = 1

x (a + 2) - a - 2 + 3 (a + 29)

6 x^{2} - x = x - 6

- 40 + 10 a = - 70