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

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

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factor 3x^2+2x-5

factor

3 x^{2} + 2 x - 5

(x - 1) (3 x + 5)

Solution steps

3 x^{2} + 2 x - 5

Break the expression into groups

= (3 x^{2} - 3 x) + (5 x - 5)

Factor out

3 x

from

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

Factor out

5

from

5 x - 5 : 5 (x - 1)

= 3 x (x - 1) + 5 (x - 1)

Factor out common term

x - 1

= (x - 1) (3 x + 5)

- \frac{1}{4} - (- \frac{2}{3})

9 \geq 4 x + 1

2 x = 7 x - 1

6 a^{2} - 23 a - 4

3 x^{2} + 2 = 23