What is factor 3n^2+16n+21 ?

The solution to factor 3n^2+16n+21 is (3n+7)(n+3)

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factor 3n^2+16n+21

factor

3 n^{2} + 16 n + 21

(3 n + 7) (n + 3)

Solution steps

3 n^{2} + 16 n + 21

Break the expression into groups

= (3 n^{2} + 7 n) + (9 n + 21)

Factor out

n

from

3 n^{2} + 7 n : n (3 n + 7)

Factor out

3

from

9 n + 21 : 3 (3 n + 7)

= n (3 n + 7) + 3 (3 n + 7)

Factor out common term

3 n + 7

= (3 n + 7) (n + 3)

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