What is factor 3v^2-4v-7 ?

The solution to factor 3v^2-4v-7 is (v+1)(3v-7)

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factor 3v^2-4v-7

factor

3 v^{2} - 4 v - 7

(v + 1) (3 v - 7)

Solution steps

3 v^{2} - 4 v - 7

Break the expression into groups

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

Factor out

3 v

from

3 v^{2} + 3 v : 3 v (v + 1)

Factor out

- 7

from

- 7 v - 7 : - 7 (v + 1)

= 3 v (v + 1) - 7 (v + 1)

Factor out common term

v + 1

= (v + 1) (3 v - 7)

\frac{2}{3} (\frac{x + 1}{5}) = \frac{3}{4} (\frac{x - 6}{3})

\frac{2 \cdot 3}{4}

x^{2} + (x - 8)^{2} = (x + 8)^{2}

- 4 x - 10 < - 2 x - 8 \leq - 4 x + 10

- 1 = \frac{1}{3} v