What is factor z^2+7z+12 ?

The solution to factor z^2+7z+12 is (z+3)(z+4)

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factor z^2+7z+12

factor

z^{2} + 7 z + 12

(z + 3) (z + 4)

Solution steps

z^{2} + 7 z + 12

Break the expression into groups

= (z^{2} + 3 z) + (4 z + 12)

Factor out

z

from

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

Factor out

4

from

4 z + 12 : 4 (z + 3)

= z (z + 3) + 4 (z + 3)

Factor out common term

z + 3

= (z + 3) (z + 4)

\frac{x + 15}{- 3} > - 7

72 a^{8} b^{5}

\frac{- 8 x ^{2} - 48 x y - 72 y ^{2}}{2 x ^{2} - 18 y ^{2}}

6 - 2 x = 10

\frac{2 ( 1 )}{1 + 1}