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)

2 x^{2} - x = 6

4 x^{2} + 9 = 0

x^{3} > x^{2}

\frac{1}{4} (m + 8) > \frac{1}{2}

3 x^{3} - 12 x y + x^{2} y - 4 y^{2}