What is factor z^2+9z+18 ?

The solution to factor z^2+9z+18 is (z+3)(z+6)

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factor z^2+9z+18

factor

z^{2} + 9 z + 18

(z + 3) (z + 6)

Solution steps

z^{2} + 9 z + 18

Break the expression into groups

= (z^{2} + 3 z) + (6 z + 18)

Factor out

z

from

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

Factor out

6

from

6 z + 18 : 6 (z + 3)

= z (z + 3) + 6 (z + 3)

Factor out common term

z + 3

= (z + 3) (z + 6)

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