What is factor q^2-5q+6 ?

The solution to factor q^2-5q+6 is (q-2)(q-3)

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factor q^2-5q+6

factor

q^{2} - 5 q + 6

(q - 2) (q - 3)

Solution steps

q^{2} - 5 q + 6

Break the expression into groups

= (q^{2} - 2 q) + (- 3 q + 6)

Factor out

q

from

q^{2} - 2 q : q (q - 2)

Factor out

- 3

from

- 3 q + 6 : - 3 (q - 2)

= q (q - 2) - 3 (q - 2)

Factor out common term

q - 2

= (q - 2) (q - 3)

x = \frac{1}{4} x

11 b + 7 = 40

5 x^{2} - 3 x y - 14 y^{2}

4 x^{2} + 8 x + 3 = 0

k^{2} - 196 = 0