What is factor 3t^2+13t+14 ?

The solution to factor 3t^2+13t+14 is (t+2)(3t+7)

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factor 3t^2+13t+14

factor

3 t^{2} + 13 t + 14

(t + 2) (3 t + 7)

Solution steps

3 t^{2} + 13 t + 14

Break the expression into groups

= (3 t^{2} + 6 t) + (7 t + 14)

Factor out

3 t

from

3 t^{2} + 6 t : 3 t (t + 2)

Factor out

7

from

7 t + 14 : 7 (t + 2)

= 3 t (t + 2) + 7 (t + 2)

Factor out common term

t + 2

= (t + 2) (3 t + 7)

\frac{1}{2} \cdot 50

x^{2} + 11 x < - 18

(- p + 34) \cdot 7 > 49

\frac{12}{8 n - 28}

15 x^{3} - 10 x^{2}