What is factor 2n^2+7n+5 ?

The solution to factor 2n^2+7n+5 is (n+1)(2n+5)

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factor 2n^2+7n+5

factor

2 n^{2} + 7 n + 5

(n + 1) (2 n + 5)

Solution steps

2 n^{2} + 7 n + 5

Break the expression into groups

= (2 n^{2} + 2 n) + (5 n + 5)

Factor out

2 n

from

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

Factor out

5

from

5 n + 5 : 5 (n + 1)

= 2 n (n + 1) + 5 (n + 1)

Factor out common term

n + 1

= (n + 1) (2 n + 5)

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