What is factor z^2-2z-15 ?

The solution to factor z^2-2z-15 is (z+3)(z-5)

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factor z^2-2z-15

factor

z^{2} - 2 z - 15

(z + 3) (z - 5)

Solution steps

z^{2} - 2 z - 15

Break the expression into groups

= (z^{2} + 3 z) + (- 5 z - 15)

Factor out

z

from

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

Factor out

- 5

from

- 5 z - 15 : - 5 (z + 3)

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

Factor out common term

z + 3

= (z + 3) (z - 5)

7 x + 2 > 30

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

x^{3} - 6 x^{2} + 9 x - 54

2 n^{2} - 28 n + 98

16 - w^{4}