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)

- 30 p^{4} + 39 p^{2} q^{3} + 39 p^{2} q^{2}

2 x + 24 + x - 30 = x + 13 + x - 15

5 - 10 x - 3 x^{2} = 0

4 \cdot 4^{2}

- 2 + (- 3)