What is factor z^2-4z-21 ?

The solution to factor z^2-4z-21 is (z+3)(z-7)

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factor z^2-4z-21

factor

z^{2} - 4 z - 21

(z + 3) (z - 7)

Solution steps

z^{2} - 4 z - 21

Break the expression into groups

= (z^{2} + 3 z) + (- 7 z - 21)

Factor out

z

from

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

Factor out

- 7

from

- 7 z - 21 : - 7 (z + 3)

= z (z + 3) - 7 (z + 3)

Factor out common term

z + 3

= (z + 3) (z - 7)

9 g - 12 g h - 15 g^{2} h

1 + 3 a < 10

232 + 52

4 x - 9 = 2 x + 9

2 z^{2} - 17 z + 8