What is factor 2n^2+13n+11 ?

The solution to factor 2n^2+13n+11 is (n+1)(2n+11)

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factor 2n^2+13n+11

factor

2 n^{2} + 13 n + 11

(n + 1) (2 n + 11)

Solution steps

2 n^{2} + 13 n + 11

Break the expression into groups

= (2 n^{2} + 2 n) + (11 n + 11)

Factor out

2 n

from

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

Factor out

11

from

11 n + 11 : 11 (n + 1)

= 2 n (n + 1) + 11 (n + 1)

Factor out common term

n + 1

= (n + 1) (2 n + 11)

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