What is factor v^2-4v-21 ?

The solution to factor v^2-4v-21 is (v+3)(v-7)

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factor v^2-4v-21

factor

v^{2} - 4 v - 21

(v + 3) (v - 7)

Solution steps

v^{2} - 4 v - 21

Break the expression into groups

= (v^{2} + 3 v) + (- 7 v - 21)

Factor out

v

from

v^{2} + 3 v : v (v + 3)

Factor out

- 7

from

- 7 v - 21 : - 7 (v + 3)

= v (v + 3) - 7 (v + 3)

Factor out common term

v + 3

= (v + 3) (v - 7)

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