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

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

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factor 2x^2+x-3

factor

2 x^{2} + x - 3

(x - 1) (2 x + 3)

Solution steps

2 x^{2} + x - 3

Break the expression into groups

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

Factor out

2 x

from

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

Factor out

3

from

3 x - 3 : 3 (x - 1)

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

Factor out common term

x - 1

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

24 r - 4 s - 24 t - 24

- 7 v = - 14

12 - 8

∣ 2 x + 3 ∣ = 1

x^{2} = 343