What is factor 3x^2+8x-3 ?

The solution to factor 3x^2+8x-3 is (3x-1)(x+3)

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factor 3x^2+8x-3

factor

3 x^{2} + 8 x - 3

(3 x - 1) (x + 3)

Solution steps

3 x^{2} + 8 x - 3

Break the expression into groups

= (3 x^{2} - x) + (9 x - 3)

Factor out

x

from

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

Factor out

3

from

9 x - 3 : 3 (3 x - 1)

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

Factor out common term

3 x - 1

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

∣ x - 1 ∣ > 11

(x + 1)^{2} - 1 = 0

∣ 4 x + 5 ∣ > 3

(6^{3})^{4}

20 x = 5