What is factor 2n^2+5n+2 ?

The solution to factor 2n^2+5n+2 is (2n+1)(n+2)

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factor 2n^2+5n+2

factor

2 n^{2} + 5 n + 2

(2 n + 1) (n + 2)

Solution steps

2 n^{2} + 5 n + 2

Break the expression into groups

= (2 n^{2} + n) + (4 n + 2)

Factor out

n

from

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

Factor out

2

from

4 n + 2 : 2 (2 n + 1)

= n (2 n + 1) + 2 (2 n + 1)

Factor out common term

2 n + 1

= (2 n + 1) (n + 2)

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