What is factor x^2-7x+12 ?

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

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factor x^2-7x+12

factor

x^{2} - 7 x + 12

(x - 3) (x - 4)

Solution steps

x^{2} - 7 x + 12

Break the expression into groups

= (x^{2} - 3 x) + (- 4 x + 12)

Factor out

x

from

x^{2} - 3 x : x (x - 3)

Factor out

- 4

from

- 4 x + 12 : - 4 (x - 3)

= x (x - 3) - 4 (x - 3)

Factor out common term

x - 3

= (x - 3) (x - 4)

- \frac{16}{4}

2 \cdot 10

\frac{2 + 2 i}{2 i}

x^{2} - x + 12 = 0

m^{2} + 24 m + 144