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

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

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factor w^2-7w+12

factor

w^{2} - 7 w + 12

(w - 3) (w - 4)

Solution steps

w^{2} - 7 w + 12

Break the expression into groups

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

Factor out

w

from

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

Factor out

- 4

from

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

= w (w - 3) - 4 (w - 3)

Factor out common term

w - 3

= (w - 3) (w - 4)

4 x = x^{2} - 5

\frac{13}{52} \cdot \frac{13}{51}

4 + b = 18

x^{2} - 14 x + 37 = 0

1 + x^{2} < x - 13