What is factor 2t^2+17t+8 ?

The solution to factor 2t^2+17t+8 is (2t+1)(t+8)

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factor 2t^2+17t+8

factor

2 t^{2} + 17 t + 8

(2 t + 1) (t + 8)

Solution steps

2 t^{2} + 17 t + 8

Break the expression into groups

= (2 t^{2} + t) + (16 t + 8)

Factor out

t

from

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

Factor out

8

from

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

= t (2 t + 1) + 8 (2 t + 1)

Factor out common term

2 t + 1

= (2 t + 1) (t + 8)

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