What is factor 12a^2+5a-2 ?

The solution to factor 12a^2+5a-2 is (4a-1)(3a+2)

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factor 12a^2+5a-2

factor

12 a^{2} + 5 a - 2

(4 a - 1) (3 a + 2)

Solution steps

12 a^{2} + 5 a - 2

Break the expression into groups

= (12 a^{2} - 3 a) + (8 a - 2)

Factor out

3 a

from

12 a^{2} - 3 a : 3 a (4 a - 1)

Factor out

2

from

8 a - 2 : 2 (4 a - 1)

= 3 a (4 a - 1) + 2 (4 a - 1)

Factor out common term

4 a - 1

= (4 a - 1) (3 a + 2)

\frac{x ^{2} - 4 x}{x ^{2} + x + 2} \leq 1

3 + d < 3 - d

(7 - 5) (21 - 15)

3 p \geq - 24

36 - 25 x^{2}