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)

\frac{2 x ^{4} + 4 x ^{3} - 5 x ^{2} + 2 x - 3}{2 x ^{2} + 1}

- \frac{1}{3} \times (- 2)

20 + x - x^{2}

8 2^{3}

- 8 \times (- 5)