What is factor 3x^2+14x+11 ?

The solution to factor 3x^2+14x+11 is (x+1)(3x+11)

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factor 3x^2+14x+11

factor

3 x^{2} + 14 x + 11

(x + 1) (3 x + 11)

Solution steps

3 x^{2} + 14 x + 11

Break the expression into groups

= (3 x^{2} + 3 x) + (11 x + 11)

Factor out

3 x

from

3 x^{2} + 3 x : 3 x (x + 1)

Factor out

11

from

11 x + 11 : 11 (x + 1)

= 3 x (x + 1) + 11 (x + 1)

Factor out common term

x + 1

= (x + 1) (3 x + 11)

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