What is factor 12x^2+17x+6 ?

The solution to factor 12x^2+17x+6 is (3x+2)(4x+3)

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factor 12x^2+17x+6

factor

12 x^{2} + 17 x + 6

(3 x + 2) (4 x + 3)

Solution steps

12 x^{2} + 17 x + 6

Break the expression into groups

= (12 x^{2} + 8 x) + (9 x + 6)

Factor out

4 x

from

12 x^{2} + 8 x : 4 x (3 x + 2)

Factor out

3

from

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

= 4 x (3 x + 2) + 3 (3 x + 2)

Factor out common term

3 x + 2

= (3 x + 2) (4 x + 3)

- 4 x - 13 > 3

\frac{2 x - 1}{3 x - 2} \leq 1

8 \cdot 7 \cdot 6

2 (3 x + 2) = 40

4 ∣ x + 1 ∣ - 8 = 12