What is factor 3z^2-4z-7 ?

The solution to factor 3z^2-4z-7 is (z+1)(3z-7)

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factor 3z^2-4z-7

factor

3 z^{2} - 4 z - 7

(z + 1) (3 z - 7)

Solution steps

3 z^{2} - 4 z - 7

Break the expression into groups

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

Factor out

3 z

from

3 z^{2} + 3 z : 3 z (z + 1)

Factor out

- 7

from

- 7 z - 7 : - 7 (z + 1)

= 3 z (z + 1) - 7 (z + 1)

Factor out common term

z + 1

= (z + 1) (3 z - 7)

\frac{n}{2} + 7 = 22

5 x^{5} y - 405 x

4 + \frac{x - 3}{8} = 12

x^{2} - x - 30 < 0

15 n^{2} - n - 2 = 0