What is factor 2t^2+9t+4 ?

The solution to factor 2t^2+9t+4 is (2t+1)(t+4)

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factor 2t^2+9t+4

factor

2 t^{2} + 9 t + 4

(2 t + 1) (t + 4)

Solution steps

2 t^{2} + 9 t + 4

Break the expression into groups

= (2 t^{2} + t) + (8 t + 4)

Factor out

t

from

2 t^{2} + t : t (2 t + 1)

Factor out

4

from

8 t + 4 : 4 (2 t + 1)

= t (2 t + 1) + 4 (2 t + 1)

Factor out common term

2 t + 1

= (2 t + 1) (t + 4)

lo g_{5} (625)

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