What is factor z^2+8z-20 ?

The solution to factor z^2+8z-20 is (z-2)(z+10)

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factor z^2+8z-20

factor

z^{2} + 8 z - 20

(z - 2) (z + 10)

Solution steps

z^{2} + 8 z - 20

Break the expression into groups

= (z^{2} - 2 z) + (10 z - 20)

Factor out

z

from

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

Factor out

10

from

10 z - 20 : 10 (z - 2)

= z (z - 2) + 10 (z - 2)

Factor out common term

z - 2

= (z - 2) (z + 10)

2 (- 2)^{3} + 3 (- 2)^{2} - 12 (- 2) + 1

\frac{x + 2}{x + 3} - \frac{x - 1}{x - 2} < 0

∣ x - 4 ∣ < 0

4 x^{2} = - 32 x

\frac{π}{6} \cdot 2