What is factor 3x^2+11x+6 ?

The solution to factor 3x^2+11x+6 is (3x+2)(x+3)

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factor 3x^2+11x+6

factor

3 x^{2} + 11 x + 6

(3 x + 2) (x + 3)

Solution steps

3 x^{2} + 11 x + 6

Break the expression into groups

= (3 x^{2} + 2 x) + (9 x + 6)

Factor out

x

from

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

Factor out

3

from

9 x + 6 : 3 (3 x + 2)

= x (3 x + 2) + 3 (3 x + 2)

Factor out common term

3 x + 2

= (3 x + 2) (x + 3)

\frac{2}{b} \leq - 1

(x - 1) (x + 2) = 0

3 x^{2} - 18 x^{1} + 24 = 0

7 x^{2} + 8 = - 19

6 = - 2 (a + 9)