What is factor 2t^2+5t-12 ?

The solution to factor 2t^2+5t-12 is (2t-3)(t+4)

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factor 2t^2+5t-12

factor

2 t^{2} + 5 t - 12

(2 t - 3) (t + 4)

Solution steps

2 t^{2} + 5 t - 12

Break the expression into groups

= (2 t^{2} - 3 t) + (8 t - 12)

Factor out

t

from

2 t^{2} - 3 t : t (2 t - 3)

Factor out

4

from

8 t - 12 : 4 (2 t - 3)

= t (2 t - 3) + 4 (2 t - 3)

Factor out common term

2 t - 3

= (2 t - 3) (t + 4)

3 x - 7 > 2

6 x^{3} - 18 x^{2} - 2 x + 6

lo g_{2} (36)

3 g > 11

- x^{2} + 8 x - 12 > 0