What is factor-q^2-9q-14 ?

The solution to factor-q^2-9q-14 is -(q+2)(q+7)

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factor-q^2-9q-14

factor

- q^{2} - 9 q - 14

- (q + 2) (q + 7)

Solution steps

- q^{2} - 9 q - 14

Break the expression into groups

= (- q^{2} - 2 q) + (- 7 q - 14)

Factor out

- q

from

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

Factor out

- 7

from

- 7 q - 14 : - 7 (q + 2)

= - q (q + 2) - 7 (q + 2)

Factor out common term

q + 2

= (q + 2) (- q - 7)

Factor

- q - 7 : - (q + 7)

= (q + 2) (- (q + 7))

Apply rule:

a (- b) = - ab

(q + 2) (- (q + 7)) = - (q + 2) (q + 7)

= - (q + 2) (q + 7)

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