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

The solution to factor t^2+3t+2 is (t+1)(t+2)

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factor t^2+3t+2

factor

t^{2} + 3 t + 2

(t + 1) (t + 2)

Solution steps

t^{2} + 3 t + 2

Break the expression into groups

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

Factor out

t

from

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

Factor out

2

from

2 t + 2 : 2 (t + 1)

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

Factor out common term

t + 1

= (t + 1) (t + 2)

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