What is factor 3z^2-13z-30 ?

The solution to factor 3z^2-13z-30 is (3z+5)(z-6)

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factor 3z^2-13z-30

factor

3 z^{2} - 13 z - 30

(3 z + 5) (z - 6)

Solution steps

3 z^{2} - 13 z - 30

Break the expression into groups

= (3 z^{2} + 5 z) + (- 18 z - 30)

Factor out

z

from

3 z^{2} + 5 z : z (3 z + 5)

Factor out

- 6

from

- 18 z - 30 : - 6 (3 z + 5)

= z (3 z + 5) - 6 (3 z + 5)

Factor out common term

3 z + 5

= (3 z + 5) (z - 6)

5 x - 7 (x + 1) < - 9

10 a^{2} - 3 a - 1

\frac{3}{2} x = 4

2 t^{3} - 5 t^{2} - 3 t > 0

5 x^{8} y^{2} \cdot 10 x^{3} \cdot 12 y