What is factor 3x^2+5x-2 ?

The solution to factor 3x^2+5x-2 is (3x-1)(x+2)

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factor 3x^2+5x-2

factor

3 x^{2} + 5 x - 2

(3 x - 1) (x + 2)

Solution steps

3 x^{2} + 5 x - 2

Break the expression into groups

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

Factor out

x

from

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

Factor out

2

from

6 x - 2 : 2 (3 x - 1)

= x (3 x - 1) + 2 (3 x - 1)

Factor out common term

3 x - 1

= (3 x - 1) (x + 2)

9 x^{2} + 3 x - 1 = 0

36 x^{2} - 54 x - 36 = 0

\frac{3 2}{2}

56

- 7 x + 1 \geq 22 or - 10 x + 41 \geq 81