What is factor 4v^2+15v+9 ?

The solution to factor 4v^2+15v+9 is (4v+3)(v+3)

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factor 4v^2+15v+9

factor

4 v^{2} + 15 v + 9

(4 v + 3) (v + 3)

Solution steps

4 v^{2} + 15 v + 9

Break the expression into groups

= (4 v^{2} + 3 v) + (12 v + 9)

Factor out

v

from

4 v^{2} + 3 v : v (4 v + 3)

Factor out

3

from

12 v + 9 : 3 (4 v + 3)

= v (4 v + 3) + 3 (4 v + 3)

Factor out common term

4 v + 3

= (4 v + 3) (v + 3)

x^{3} - 9 x^{2} + 5 x - 45

\frac{( x + 3 )}{8} > \frac{( x - 2 )}{3}

(x - 7)^{2} = 49

∣ 5 x - 1 ∣ < 11

3 x^{2} + 5 x + 11 < 0