What is factor z^2-3z-10 ?

The solution to factor z^2-3z-10 is (z+2)(z-5)

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factor z^2-3z-10

factor

z^{2} - 3 z - 10

(z + 2) (z - 5)

Solution steps

z^{2} - 3 z - 10

Break the expression into groups

= (z^{2} + 2 z) + (- 5 z - 10)

Factor out

z

from

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

Factor out

- 5

from

- 5 z - 10 : - 5 (z + 2)

= z (z + 2) - 5 (z + 2)

Factor out common term

z + 2

= (z + 2) (z - 5)

(x - 2) (3 x + 5) = 0

(3 2^{\frac{1}{5}})^{3}

4 u v^{2} (2 u - v) + 6 u^{2} v (v - 2 u)

\frac{9 x ^{4} y ^{3}}{3 x ^{10} y ^{7}}

\frac{7 ^{4}}{7}